Question

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 = 40 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.

Answer 1

Finding the numerical value of the function, it is found that:

Considering that the percentage of smokers in 2010 is of 23%, while the model estimates at 20%, it is found that the model underestimated the percentage by 3%.

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

The numerical value of a function f(x) at x = a is f(a).

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

The percentage of smokers in x years after 1970 is given by:

$p + \frac{x}{2} = 40$

Then

$p(x) = 40 - \frac{x}{2}$

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

2010 is 2010 - 1970 = 40 years after 1970, thus the percentage is p(40).

$p(40) = 40 - \frac{40}{2} = 40 - 20 = 20$

Considering that the percentage of smokers in 2010 is of 23%, while the model estimates at 20%, it is found that the model underestimated the percentage by 3%.

A similar problem is given at https://brainly.com/question/24488747