Answers
The expression is:
f(-2) = 23, f(3) = 5, f(4) = 5, f(6) = 5, f(9) = -3
The function is
f(x) = 5x² + 3 x< 3
= 5 3≤x ≤ 6
= 6-x x>6
a) f(-2) for x<3
So we have 5x² + 3
5(-2)² + 3
= 5 × 4 + 3
= 20 + 3
= 23
b) f(3)
as the range is 3≤ x ≤6
for which we have a value 5
So f(3) = 5
c) f(4)
As the range is 3≤ x ≤ 6 for which the value is 5.
So f(3) = 5
d) f(6)
As the range is 3≤ x ≤ 6
So the value is 5
f(6) = 5
e) f(9)
The range is x>6 for this we have 6-x
So 6-x
= 6 - 9
= -3
Therefore the value of the function is f(-2) = 23, f(3) = 5, f(4) = 5, f(6) = 5 and f(9) = -3.
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Related Questions
create a non linear function that has a solution at (-2,6). Include a calculation that shows why this is a solution to your function.
Answers
In order to find a nonlinear function that has a solution at (-2,6) we need to choose first a parent function that is no linear in this case, we will use
[tex]y=x^2[/tex]in order to know that the solution is (-2, 6) so if I introduce the value of x coordinate which is -2 in the function we need to have as result 6
In this case, taken the parent function above and in order to have the desired result we have the next calculations
[tex]\begin{gathered} 6=(-2)^2+2 \\ 6=4+2 \\ 6=6 \end{gathered}[/tex]so the function that has a solution (-2,6) and is no linear is
[tex]y=x^2+2[/tex]Investor A decided to purchase a home with a loan amount of $390,000, 3.30% annually fixed rate for a 30 years term, and one payment per month. What is the monthly payment for this mortgage? Round to the nearest cent
Answers
The monthly payment for this mortgage is $2156
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
Principal = $390,000
Rate = 3.30%
Time = 30 years
The simple interest is given by:
SI:
= P x R x T / 100
= (390,000 x 3.30 x 30) / 100
= (390,000 x 330 x 30) / (100 x 100)
= 39 x 330 x 30
= 386100
Total amount to pay in 30 years.
= Principal + SI
= 390,000 + 386,100
= 776100
The monthly payment:
30 years = 12 x 30 months = 360 months
Now,
Monthly payment:
= 776100 / 360
= 2155.83
= $2156
Thus,
The monthly payment for this mortgage is $2156
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Newton sleeps 9hours each night. How many hours does he sleeps in 1 week
Answers
what percent of 14 is 21?
Answers
Let's calculate the percentage
[tex]\frac{14}{21}=\frac{2}{3}=0.666=66.66\text{ \%}[/tex]The answer would be 66.66%.
find the volume specified. use 3.14 as the approximate value of pi, and round your answer to the nearest tenth.find the volume of a feed bin having the shape of a right circular cylinder of radius 5 ft and height 5 ft topped by a right circular cone of the same radius and height 3 ft Draw a picture to get started.
Answers
ANSWER
The volume of the bin is 471 cubic feet
EXPLANATION;
Given that;
The radius of the cylinder is 5ft
The height of the cylinderis 5 ft]
The height of the cone s 3ft]
To find the total volume of the bin, follow the steps below
Firstly, draw the structure of the bin
Secondly, Write the formula for calculating the volume of a cone and a cylinder
[tex]\begin{gathered} \text{ The volume of a cone = }\frac{1}{3}\pi r^2h \\ \text{ The volume of a cylinder = }\pi r^2h \end{gathered}[/tex][tex]\begin{gathered} \text{ The volume of the cone = }\frac{1}{3}\pi r^2h \\ \text{ where }\pi\text{ = 3.14} \\ \text{ The volume of the cone = }\frac{1}{3}\times\text{ 3.14 }\times\text{ 5}^2\text{ }\times\text{ 3} \\ \text{ The volume of the cone = }\frac{1}{3}\times\text{ 3.14 }\times\text{ 25 }\times\text{ 3} \\ \text{ The volume of the cone }=3.14\text{ }\times\text{ 25} \\ \text{ The volume of the cone = 78.5 ft}^3 \end{gathered}[/tex][tex]\begin{gathered} \text{ The volume of the cylinder = }\pi r^2h \\ \text{ }\pi\text{ = 3.14} \\ \text{ The volume of the cylinder = 3.14 }\times\text{ 5}^2\text{ }\times\text{ 5} \\ \text{ The volume of the cylinder = 3.14 }\times\text{ 25 }\times\text{ 5} \\ \text{ The volume of the cylinder = 392.5 ft}^3 \end{gathered}[/tex]Find the volume of the bin
[tex]\begin{gathered} \text{ Volume of the bin = volume of the cone + volume of cylinder} \\ \text{ Volume of the bin = 78.5 + 392.5} \\ \text{ Volume of the bin = 471 ft}^3 \end{gathered}[/tex]Hence, the volume of the bin is 471 cubic feet
The stemplot below displays the grades (out of 30) that 26 students received on a quiz.
A stemplot titled quiz grades has values 12, 14, 15, 16, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30.
Which of the following boxplots correctly displays the distribution of quiz grades?
Answers
If a stemplot as shown in the attachments attached alongside the question statement, display the grades (out of 30) that 26 students received on a quiz, and has values [12, 14, 15, 16, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30], then the boxplot (A) correctly displays the distribution of quiz grades.
As per the question statement, a stemplot as shown in the attachments attached alongside the question statement, display the grades (out of 30) that 26 students received on a quiz, and has values [12, 14, 15, 16, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30].
We are required to determine which one of the four boxplots provided in the attachments correctly displays the distribution of quiz grades.
To solve this question, first let us observe the distribution of the grades, where the grade 13, 17, 18, 19, 20 and 21 are missing. Hence, the set is a discontinuous one.
Looking at options (B) and (D), these boxplots have a straight continuous line from 12 upto 30, which means that the grades 13, 17, 18, 19, 20 and 21 are also included in the set. This is false, and hence, options (B) and (D) cannot be the correct answers.
Coming to Option (C), it has a continuous line from 15 to 30, which means, the grades [17, 18, 19, 20 and 21] are also included in the set, and this is also not true. Hence, option (C) is also not our correct answer.
Finally coming to option (A), It has four individual dots over 12, 14, 15 and 16, and then, a gap, and a continuous line from 20 to 30 after the gap. From our set, we can observe that, 12, 14, 15 and 16 are in-fact present in the set, each of them having occurrence once only, and thus the four individual dots over 12, 14, 15 and 16 correctly addresses this situation. Also, every number between 22 and 30 are present in the set, and the numbers of (23, 24, 25, 26 and 27) have the most occurrences, which the boxes on top of (23 - 27) again correctly address.
Hence, our correct answer is option (A).
Stemplot: In Statistics, a stem and leaf plot, or a stem plot, is a technique used to classify discrete or continuous variables, and used to organize data as they are collected. Since it looks something like a bar graph, and each number in the data is broken down into a stem and a leaf, it gets the name of Stemplot.Boxplot: In Statistics, a boxplot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum of a set of observations, and the name "box plot" comes from the fact that the graph looks like a rectangle with lines extending from the top and bottom.To learn more about Stemplots and Boxplots, click on the link below.
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Shannon's bicycle travels 50 feet for every 3 pedal turn. How many pedal turns are needed to travel one mile (1 mile=5280 feet)?
Answers
Shannon's bicycle travels 50 feet for 3 pedal turn
He travels
[tex]50ft=3\text{ pedal turn}[/tex]Converting 1 mile to feet
[tex]1\text{mile}=5280ft[/tex]The number of pedal turns needed to travel a mile is
[tex]\begin{gathered} 50ft=3\text{ pedal turn} \\ For\text{ 1mile (5280ft)=}\frac{5280\times3}{50}=3168\text{ pedal turns} \end{gathered}[/tex]Hence, the answer is 3168 pedal turns
Give the digits in the hundred thousands place and the ten thousands place.803,519
Answers
Given the number
[tex]803519[/tex]To get the digits in the hundred thousand places and the ten thousand place, we will first list out the values of all the digits
The Hundred thousands place is 8
Find the product. Write the product in rectangular form, using exact values.
Answers
We must find the product of complex numbers and write it in rectangular form i.e. like a+ib where a and b are real numbers. In order to do tthis we first need to write the values of the sine and cosine of 120° and 210°. For this purpose we can use a table displaying the values of the trigonometric functions for several angles. However, these tables usually display the values for angles between 0° and 90° like the following one:
However this table is still useful. 120° is an angle in the second quadrant which means that it has the same sine as an angle of the first quadrant that meets x=180°-120° and its cosine is the same but multiplied by -1. We have x=180°-120°=60° which means that:
[tex]\begin{gathered} \sin120^{\circ}=\sin60^{\circ}=\frac{\sqrt{3}}{2} \\ \cos120^{\circ}=-\cos60^{\circ}=-\frac{1}{2} \end{gathered}[/tex]We can do something similar for 210°. It's in the third quadrant which means that both its sine and cosine are thoes of x=210°-180°=30° but multiplied by -1. Then we get:
[tex]\begin{gathered} \sin210^{\circ}=-\sin30^{\circ}=-\frac{1}{2} \\ \cos210^{\circ}=-\cos30^{\circ}=-\frac{\sqrt{3}}{2} \end{gathered}[/tex]Now that we found the sine and cosine of both angles we can rewrite the product:
[tex]\begin{gathered} \lbrack4(\cos210^{\circ}+i\sin210^{\circ})\rbrack\cdot\lbrack5(\cos(120^{\operatorname{\circ}})+\imaginaryI\sin(120^{\operatorname{\circ}}))\rbrack= \\ =\lbrack4(-\frac{\sqrt{3}}{2}-i\frac{1}{2})\rbrack\cdot\lbrack5(-\frac{1}{2}+\mathrm{i}\frac{\sqrt{3}}{2})\rbrack=\lbrack-2\sqrt{3}-2i\rbrack\cdot\lbrack-\frac{5}{2}+\mathrm{i}\frac{5\sqrt{3}}{2}\rbrack \end{gathered}[/tex]Then we get:
[tex]\begin{gathered} \lbrack-2\sqrt{3}-2i\rbrack\cdot\lbrack-\frac{5}{2}+\mathrm{i}\frac{5\sqrt{3}}{2}\rbrack=2\sqrt{3}\cdot\frac{5}{2}-i2\sqrt{3}\cdot\frac{5\sqrt{3}}{2}+i2\cdot\frac{5}{2}-i\cdot i\cdot2\cdot\frac{5\sqrt{3}}{2} \\ =5\sqrt{3}-i15+i5+5\sqrt{3}=10\sqrt{3}-10i \end{gathered}[/tex]AnswerThen the answer is:
[tex]10\sqrt{3}-i10[/tex]Answer:
20 cis 420o = 20 cis 60o
Step-by-step explanation:
y4321Find thevertex of thiquadratic.([?], [ ])X-4 -3 -2 -1 0 1 2 3 4-1-2-3-4
Answers
By the graph, we can see that the vertex is placed where x = 1 and y = -3
0.0000235 in scientific notation
Answers
Answer:
2.35 × 10⁻⁵
Step-by-step explanation:
Scientific notation (also called "Standard form") is written in the form
a × 10ⁿ where 1 ≤ a < 10 and n is any positive or negative whole number.
To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 (the value of n).
If the decimal point has moved to the left, n is positive.If the decimal point has moved to the right, n is negative.To convert 0.0000235 to scientific notation:
Move the decimal point 5 places to the right so that a = 2.35. As the decimal point has been moved 5 places the right, n = -5.Therefore, 0.0000235 = 2.35 × 10⁻⁵.
Marco is driving to the Grand Canyon his distance from the Grand Canyon decreases 150 miles every three hours after four hours his distance from the Grand Canyon is 200 Mi Marcos distance from the Grand Canyon in Miles Y is a function of the numbers of the hours he drives what is the initial value fine markers distance from the Grand Canyon when he starts to drive
Answers
Answer:
-50
Step-by-step explanation:
The Rate of change is -50 and not 50. Don't get mixed.
Estimate the sum or difference
76.81 + 2.17
Answers
The estimated sum of 76.81 and 2.17 is 79.
The first number given to us is 76.81.
The second number given to us is 2.17.
We need to find the estimated sum of the two numbers.
To find the estimated sum, we will round off the numbers to the nearest tenth.
Rounding a number implies simplifying it while retaining its value close to what it was. The end output is less precise but more usable.
After rounding, the first number becomes 76.8.
After rounding, the second number becomes 2.2.
The estimated sum is the addition of these rounded numbers.
The estimated sum is 76.8 + 2.2 = 79.
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8. In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.Voting records show that 61% of eligible voters actually did vote.a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.b) Are the survey results consistent with the actual voter turnout of 61%? Why or why not?c) How would the confidence interval change if we increased the confidence level to 99%? Findthe 99% confidence interval estimate to support your answer.
Answers
Here, we want to find the 95% confidence interval estimate of the proporton of people who say that they voted
The proportion of people who say they voted will be;
701/1002 = 0.70
The actual proportion of people that voted = 61% = 0.61
Mathematically, the confidence interval CI will be;
[tex]undefined[/tex]What is the ratio of the areas of ΔABC to ΔA'B'C' ?
Answers
The first step is to find the scale factor relating ABC to A'B'C'. Since they are dilated, ABC is similar to A'B'C'. This means that the ratios of their corresponding sides are equal. Thus,
AB/A'B' = BC/B'C' = AC/A'C'
From the information given,
AB = 7
A'B' = 28
Thus,
ratio of ABC to A'B'C' = 7/28 = 1/4
Ratio of area of ABC to A'B'C' = (1/4)^2
Ratio of area of ABC to A'B'C' = 1/16
Gravel is piled in the shape of a cone. The circumference of the base is 221 ft. The slant height is 43 ft. Find the volume of gravel
Answers
Answer:
Step-by-step explanation:
can you help me on the part Drawing the Ace of Spades please
Answers
Solution
There is just one ace of spades
Therefore, the probability of drawing the ace of spade is;
[tex]\frac{1}{52}[/tex]eWhat are the zeros of the function f(x) = (2x+6)(x-4)?OA. x = 6 and x = -4OB. x=-6 and x = -4OC. x=3 and x = -4OD. x=-3 and x = 4
Answers
Hello there. To solve this question, we have to remember some properties about roots of polynomials.
Given the following function:
[tex]f(x)=(2x+6)\cdot(x-4)[/tex]We want to determine its roots.
For this, we want to determine the values of x such that
[tex]f(x)=0[/tex]Then we have that
[tex](2x+6)\cdot(x-4)=0[/tex]We know that a product of two values is equal to zero if and only if one of them is equal to zero.
So we have that
[tex]2x+6=0\text{ or }x-4=0[/tex]Subtract 6 on both sides of the first equation, we get
[tex]2x=-6[/tex]Divide both sides of the equation by a factor of 2
[tex]x=-3[/tex]Now for the second equation, add 4 on both sides of the equation
[tex]x=4[/tex]Hence we say that the roots of this function are
[tex]x=-3\text{ and }x=4[/tex]This is the answer contained in the last option.
for the line of fit p = -26t + 5,649 , where t is the number of years since 1990 , what is the residual of the data point at t = 5?
Answers
According to the problem, the equation of the line that best fit is
[tex]p=-26t+5649[/tex]To find the population when t = 5, we just have to evaluate the expression.
[tex]\begin{gathered} p=-26\cdot5+5649=-130+5649 \\ p=5519 \end{gathered}[/tex]Note that this value (p=5519) is different from the value assigned in the given table. In this way, the residual refers to the difference between these values.
[tex]r=5530-5519=11[/tex]It's important to know that the residual r=11 is positive because the value shown in the table (empirical data) is greater than the resulting value from the equation.
Therefore, the residual is 11.twice a number y diminished by 2 is less than or equal to fourteen
Answers
Answer: 2y-2 ≤ 14
Step-by-step explanation:
A thermometer shows a temperature of -20 degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook? 0-21 -21.3 -20.75 -20.34
Answers
hello
to solve this question, we an simply write the answer as -20.13
What is the equation for the translation of x2 + y² = 64 three units to the left and two units down
(x - 3)² + (y-2)² = 64
(x+3)2 + (y + 2)2 = 64
(x-3)² + (y + 2)² = 64
(x+3)² + (y-2)² = 64
Answers
The equation for the translation of [tex]x^{2} +y^{2}=64[/tex], three units to the left and two units down is option (b) [tex](x+3)^2+(y+2)^2=25[/tex]
The equation is [tex]x^{2} +y^{2}=64[/tex]
The standard form of the circle
[tex](x-h)^2+(y-k)^2=r^{2}[/tex]
Where r is the radius of the circle
(h,k) are the coordinates of the center of the circle.
The equation is [tex]x^{2} +y^{2}=64[/tex]
The center is (0,0)
Here the circle translated three units to the left
Therefore h = -3
The circle is translated two units down
k = -2
Substitute the values in the standard form of the circle
[tex](x--3)^{2}+(y--2)^{2}=25[/tex]
[tex](x+3)^2+(y+2)^2=25[/tex]
Hence, the equation for the translation of [tex]x^{2} +y^{2}=64[/tex], three units to the left and two units down is option (b) [tex](x+3)^2+(y+2)^2=25[/tex]
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Lacey’s bank account shows a balance of –$45.10. The next day, she deposits $65.00 and uses her debit card for a purchase of $23.75. What is her new balance?
Answers
Lacey's new balance in the account is -$3.85.
What is account balance?
The amount of funds held in a financial institution, for example, a savings or checks account, at any particular time is known as the account balance. The net amount, which includes all debits and credits, is always the account balance.In order for a company's accounts to balance, debits and credits must be employed in the bookkeeping process. Credits raise liability, revenue, or equity accounts while decreasing asset or expenditure accounts. Credits operate in reverse.Lacey’s bank account balance = –$45.10
she deposits = $65.00
Debit card for a purchase = $23.75
Updated balance = –$45.10+$65.00-$23.75= -$3.85
Lacey's new balance in the account is -$3.85.
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I do not know how to find the information from a word question and would love some help
Answers
Explanation
Given
From the question, we can see that the bottom of the ferris wheel is 30 feet about the ground and also while rotating, it can move to a height of 550 feet off the ground. In essence the actual height the ferris wheel can attain is
[tex]h=550-30=520[/tex]The amplitude then becomes half of the height which is
[tex]A=\frac{h}{2}=\frac{520}{2}=260[/tex]The vertical shift the Ferris wheel undergoes becomes the sum of the amplitude and its distance above the ground.
[tex]D=260+30=290[/tex]Since it takes the Ferris wheel 15 minutes to move from bottom to top, it will take it twice that to complete one revolution which will be its period.
[tex]T=2\times15mins=30[/tex]Therefore, the frequency B, becomes;
[tex]B=\frac{2\pi}{T}=\frac{2\pi}{30}=\frac{\pi}{15}[/tex]We can then place in the above parameters to form the equation.
[tex]y=Acos(B(t+C))+D\Rightarrow260cos(\frac{\pi}{15}(t+C)+290[/tex]The last missing parameter is the phase shift C. At time t =0, the function (y) has a position at 30. Therefore,
[tex]\begin{gathered} 30=260cos(\frac{\pi}{15}C)+290 \\ 260cos(\frac{\pi}{15}C)=-290+30 \\ 260cos(\frac{\pi}{15}C)=-260 \\ divide\text{ both sides by 260} \\ \frac{\begin{equation*}260cos(\frac{\pi}{15}C)\end{equation*}}{260}=\frac{-260}{260} \\ cos(\frac{\pi}{15}C)=-1 \\ \frac{\pi}{15}C=cos^{-1}(-1) \\ \frac{\pi}{15}C=\pi \\ C=\frac{15\pi}{\pi} \\ C=15 \end{gathered}[/tex]Therefore, the function y becomes
Answer:
[tex]y=260cos(\frac{\pi}{15}(t+15)+290[/tex]Graphthe line with slope 2/5 and y-intercept -3.
Answers
1) As the line has a slope m=2/5 and a y-intercept = -3
Then we can write y=2/5x -3
2) Now let's plot that, setting a table with at least 3 values for that
x | y
0 -3
-1 -3.4
2 -2.2
With these points, we can trace a line.
which of the following values make the equations below true 4(x-2)=2x-3(x=2)
Answers
The value of x that makes the equation true where the equation is given as 4(x - 2)=2x - 3 is 5/3
What are linear equations?These are equations with constant average rates of change
How to determine the solution that makes the equation true?The equation is given as
4(x-2)=2x-3
Rewrite the equation properly
So, we have
4(x - 2)=2x - 3
The above equation is a linear function with one variable
So, we have
4(x - 2)=2x - 3
Open the brackets in the above equation
So, we have
4x - 8 =2x - 3
Add 8 to both sides of the equation
So, we have
4x =2x + 5
Subtract 2x from both sides of the equation
So, we have
3x = 5
Divide both sides of the equation by 3
So, we have
x = 5/3
Hence, the value of x in the equation is 5/3
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What is the degree of the polynomial, 105y75+125x5-100x10?
Answers
The degree of the polynomial is the largest of these three values, which is 75
What is polynomial ?Algebraic expressions called polynomials include constants and indeterminates. Polynomials can be thought of as a type of mathematics. Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.
Simply locate the highest exponent in the formula to determine the degree of the polynomial. The degree of the polynomial is seven because it is the highest exponent above.
There are multiple variables in the polynomial. The biggest sum of ALL of the exponents for ALL of the variables in a term is the polynomial's degree.
Given that := 105[tex]y^{75} + 125^{5} - 100x^{10}[/tex]
= 105[tex]y^{75} + 125^{5} - 100x^{10}[/tex]
To find the degree of a polynomial, simply find the highest exponent in the expression. As seven is the highest exponent above, it is also the degree of the polynomial.
The polynomial has more than one variable. The degree of the polynomial is the largest sum of the exponents of ALL variables in a term.
The first term is 105[tex]y^{75}[/tex]
The degree of this term is 75
The second term is 125[tex]x^{5}[/tex]
The degree of this term is 5.
The third term is 100[tex]x^{10}[/tex]
The degree of this term is 10.
The degree of the polynomial is the largest of these three values, which is 75
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what is the median? -95, -94, -93, 95, 91, -92, -89, -92, -98
Answers
Given the set of the data:
[tex]-95,-94,-93,95,91,-92,-89,-92,-98[/tex]Arranging the data in order from the least to the greatest:
[tex]-98,-95,-94,-93,-92,-92,-89,91,95[/tex]The number of the data = 9
so, the median is the number which is in the middle
It will be number (9+1)/2 = 10/2 = 5
so, the median = -92
Which of the following quadratic functions has a graph that opens downward? Check all that apply. A v=Bx2- 8x– 13 B. v= - (3+x? e. v=zx2 - 13x+5 O d. v=2r-
Answers
Ok, so
Remember that:
For any quadratic equation of the form:
[tex]y=ax^2+bx+c[/tex]- If the leading coefficient is greater than zero, the parabola opens upward, and
- If the leading coefficient is less than zero, the parabola opens downward.
So, here we have the following functions:
[tex]v=\frac{1}{3}x^2-8x-13[/tex]The leading coefficient is greater than zero, so this parabola opens upward.
Option B:
[tex]\begin{gathered} v=-(3+x^2) \\ v=-x^2-3 \end{gathered}[/tex]The leading coefficient is less than zero, so this parabola opens downward.
Option C:
[tex]v=\frac{2}{3}x^2-13x+5[/tex]The leading coefficient is greater than zero, so this parabola opens upward.
Option D:
[tex]v=2x-x^2[/tex]The leading coefficient is less than zero, so this parabola opens downward.
Therefore, the correct options are B and D.
The equation y = 11x represents the liters of water a baseball team drinks each practice. This equation shows that after two practices, the team will have consumed 22 liters of water.
Determine the constant of proportionality.
11
22
0.18
5.5
Answers
The constant of proportionality is equal to 11.
Constant of ProportionalityThe constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In this question, the constant of proportionality is that value that doesn't change or represents the number of players while x represented the number of games they played.
The constant of proportionality can be solved mathematically as
[tex]y = 11x\\x = 2\\22 = 11(2)\\22 = 22\\[/tex]
The constant of proportionality is the value that makes y = 11x and it is 11.
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