The accompanying bar graph shows the percentage of adults in a certain city who smoked cigarettes for selected years from 1970 through 2010.

The mathematical model p + x/2 = 33 describes the percentage, p, of adults who smoked cigarettes x years after 1970. Use this information to answer questions (a) and (b) below.

Does the mathematical model underestimate or overestimate the percentage of adults who smoked cigarettes in 2010? By how much? Select the correct choice below and fill in the corresponding answer box to complete your choice.

Answers

Answer 1

Using function concepts, we have that:

The actual percentage of smokers in 2010 was of 23%, while the estimated was of 13%, thus, the model underestimated the percentage by 10%.

-----------------------------

The function is:

[tex]p + \frac{x}{2} = 33[/tex]

In which

p is the percentage of smokers.x is the number of years after 1970.

The percentage can be written as a function of the number of years, that is:

[tex]p(x) = 33 - \frac{x}{2}[/tex]

-----------------------------

2010 is 2010 - 1970 = 40 years after 1970, thus, the estimate of the percentage in 2010 is:

[tex]p(40) = 33 - \frac{40}{2} = 33 - 20 = 13[/tex]

The actual percentage of smokers in 2010 was of 23%, while the estimated was of 13%, thus, the model underestimated the percentage by 10%.

A similar problem is given at https://brainly.com/question/24481455


Related Questions

What is the length of CD?

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The length of CD is 5 units

what is (-8/15)+(1/15) simplified

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(-8/15)+(1/15)

= (-8+1)/15

= -7/15 ans....

For this item, any non-integer answer should be entered as a decimal, rounded to the hundredths place.


Triangle ABC has coordinates A(-4,1), B(0,-2),and C(4,1).

The perimeter of ∆ABC is ___ units.

Answers

9514 1404 393

Answer:

  18 units

Step-by-step explanation:

The distance formula is used to find the distance between two points:

  d = √((x2 -x1)² +(y2 -y1)²)

For AB, the distance is ...

  d = √((0 -(-4))² +(-2 -1)²) = √(16 +9) = √25 = 5

The distances between the other pairs of points can be found the same way. We have elected to let a spreadsheet do the math. It tells us the perimeter of triangle ABC is 18 units.

Answer: 18 units

Step-by-step explanation:

A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and
M(-1,-1). There is an entrance to the park at the midpoint of each side of the park. A straight path
connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane
represents 10 meters, what is the total length of the paths to the nearest meter? Round your answer to
the nearest whole number.
The total length of the paths is approximately
meters.

Answers

9514 1404 393

Answer:

  83 m

Step-by-step explanation:

The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...

  8.26(10 m) = 82.6 m ≈ 83 m

_____

The distance formula will tell you the distances are ...

  AC = √(3² +1²) = √10

  BD = √(5² +1²) = √26

The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.

Express (16^3)^1/2
in simplest radical form.

Answers

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

are All integers are real numbers.

Answers

Answer:

no

Step-by-step explanation:

all integers are not real numbers.integers are negative and positive numbers. but real numbers don't include negative numbers.

Which two integers is 91 squared by 3 between

Answers

Answer:

9 and 10

Step-by-step explanation:

Need help with # 3 and 6!

Answers

Answer: 3 is x=50

Need more info for 6

Step-by-step explanation:

3) 3x+10=4x-40

50=x

6) 5 is 90 degrees, 3+1=90 degrees, and 4+2=90 degrees.

It is not clear what we are supposed to be solving, so I think there is some needed information cropped out of the photo. Hopefully my explanation of what equals what helps you solve it!

What is the equation of the line

Answers

Answer:

y=-6/7x-3

Step-by-step explanation:

On a graph, I plotted (7,-9) and the used the slope given but it was very off. On the slope -6/7x one of the plots is (7,-6). From the two lines, just go down 3 times and you would reach your plot again. What I mean is, do -6- 3=-9 so the answer is '- 6/7x-3. I used demos graphing calculator & calculator to make sure that my answer was 100% correct. You can use it too if you don't wan to use graph paper.

Hope this helps and comment or send a private message if you need help.

Which number is rational ?

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Answer:

D.

Step-by-step explanation:

pi is not a rational number.

decimals is also not a rational number.

therefore the answer is D.

HELPPPPPPPPPPPPPPPP!!!!!!!!!!

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Answer:

. 143

Step-by-step explanation:

Because 8 is greater than 5 so we can say that when we round .1428 to nearest thousandth it will be closer to .143

the larger lf ferret food is on sale at the super pet mart 89. Ferroza made the following table. Explain to ferroza why the cost of food at super pet mart is not a proportional relationship

Answers

Proportional relationships are relationships that can be represented using a uniform or constant rate. The cost of food is not a proportional relationship because it does not use a uniform rate.

The missing table is as follows:

[tex]\begin{array}{cc}Bag&Cost\\0&0\\5&17.5&30&89\end{array}[/tex]

Let:

[tex]x \to[/tex] Bag

[tex]y \to[/tex] Cost

First, we calculate the slope (m) of the table using:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (5,17.5)[/tex]

The slope (m) is as follows:

[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m=\frac{17.5 - 0}{5-0}[/tex]

[tex]m=\frac{17.5}{5}[/tex]

[tex]m=3.5[/tex]

Also, calculate the slope (m) using the following points

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (30,89)[/tex]

The slope (m) is as follows:

[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{89 - 0}{30 - 0}[/tex]

[tex]m = \frac{89}{30}[/tex]

[tex]m = 2.97[/tex]

The calculated slopes are not the same. i.e.

[tex]3.5 \ne 2.97[/tex]

Hence, the cost of food is not a proportional relationship because it does not use a uniform rate.

Read more about proportional relationships at:

https://brainly.com/question/21552002

The price h of a recently bought house plus 10% property tax

Answers

9514 1404 393

Answer:

  1.1h

Step-by-step explanation:

The property tax is 10% of h, or 0.1h. Then the total of the price and the tax is ...

  h + 0.1h = 1.1h

Identify the domain of the function

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Answer:

(-2,4)

Step-by-step explanation:

It will be the correct answer.......

c. Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches

Answers

Answer:

Answer:

y = \frac{x}{36}y=

36

x

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inchesy=x inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * xy=

36

1

∗x

y = \frac{x}{36}y=

36

x

Hence, the equivalent in yards is \frac{x}{36}

36

x

Please help I need this immediately

Answers

Answer:

The choose B. x = 7 , x = – 15

(x+4)-5=6

x +4-5=6 —> x=6-4+5 —> x= 7

– (x+4)-5=6 —> -x -4-5=6—> x = -4 -5 -6 —> x = – 15

I hope I helped you^_^

A population of hoofed mammals lived on the west Texas prairie. In one large herd of 800 animals: 100 bison, 400 antelope, 200 deer, and 100 are wild cattle. What are the percentages of each species in the population

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Answer:

13%

Step-by-step explanation:

can someone please tell me what 54.5 + 48.51​

Answers

Answer:

103.01

Step-by-step explanation:

54.5 + 48.51 = 103.01

Not sure how else you would like me to explain it.

Oh pls help I have a test tomorrow

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Answer:

you would write it as -3.25 as a whole number

14.25-5.14 find the sum or the difference

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Answer:

14.25 - 5.14 = 9.11

hope it helps you

PLEASE HELP LOTS OF POINTS

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Answer:

Yes

Step-by-step explanation:

Coplanar points are the points on the same plane.

We see two planes, a vertical and a horizontal.

The points H, I and J are on the same vertical plane, so are coplanar.

I need help, to see if i got it right

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Answer:

Do you have an image that can go along with your question?

Step-by-step explanation:

Mention more


I’m stuck on this question if someone could help me I would highly appreciate:)

Answers

Answer:

A.(5,5)

Hope it helpss

Please help with hw

Answers

subtract the lowest value from the highest

A group of friends is playing a game with the spinner shown. They win or lose money according to the segment the spinner lands on. How much money can a player expect to win or lose, on average, during 1 spin

Answers

The 8 sectors appear to be equal in size, so equally likely.
The total of the winnings = 2 + 3 + -5 + -2 + 10 + 3 + -5 + -2 = 4
Expected winnings on average = 4 / 8 = $0.50.

answer?? multiplying monomials

Answers

Answer:

-9y^8

Step-by-step explanation:

-3y^4 * 3y^4

Multiply the coefficients

-3*3 = -9

Add the exponents since the base is the same

y^4 * y^4 = y^(4+4) = y^8

Put them back together

-9y^8

PLEASE HELP RN I NEED THIS THIS IS VERY IMPORTANT ITS A TYPING ANSWER

Answers

Hey there! Here's your answer:

No

Here's why:

PQRST is not a scale copy of ABCDE because the sides are not increased proportionally. A scale copy of a figure is a figure that is geometrically similar to the original figure. This means that the scale copy and the original figure have the same shape different sizes.

which expressions have a difference of 5

a. 2-3
b. 14+ (-9)
c. -5-(-10)
d. 6- (-1)

Answers

Answer:

b and c

step by step explanation:

14+(-9)

14-9=5

c) -5-(-10)

-5+10=5

Step-by-step explanation:

Let's check them,

2-3-1

14+(-9)14-95

-5-(-10)-5+105

6-(-1)6+17

Hence, the expression -5-(-10) and 14+(-9) have a difference of 5 .

Please help!
f(x)=x^2 what is g(x)

Answers

A.

Observe that point [tex](3,3)[/tex] can only be obtained via function A: [tex]\frac{1}{3}3^2=3[/tex].

In all other cases it fails,

[tex]\frac{1}{9}3^2\neq3[/tex]

[tex]3\cdot3^2\neq3[/tex]

[tex](\frac{1}{3}\cdot3)^2\neq3[/tex]

Hope this helps :)

3.568409 rounded to the nearest 10th

Answers

Answer:

Your Answer would be 3.6

Step-by-step explanation:

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.

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