Chapter 1.4, Problem 47E

(a)

To determine

To find: the least and greatest percents of student who could be in favor of year-round school.

Answer to Problem 47E

Least and greatest percents of student is

  $27\text{ and 37}$

Explanation of Solution

Given:

  

Calculation:

$\left|x-32\right|=5$	We write an equation to find the least and greatest. percents of students who could be in favor of year round school:
$\begin{array}{l}x-32=-5\Rightarrow x=32-5\Rightarrow x=27\\ x-32=\pm 5\\ x-32=5\Rightarrow x=32+5\Rightarrow x=37\end{array}$	We solve the equation:

Conclusion:

Least and greatest percents of student is

  $27\text{ and 37}$

(b)

To determine

does this conflict with the survey data?

Answer to Problem 47E

The percent of $33\%$ is inside the interval $\left[27\%,37\%\right]$

Explanation of Solution

Calculation:

$\frac{1}{3}\approx 0.33=33\%$	$\frac{1}{3}$ from the student body means:
	The percent of $33\%$ is inside the interval $\left[27\%,37\%\right]$ .

Conclusion:

The percent of $33\%$ is inside the interval $\left[27\%,37\%\right]$