Chapter 4.5, Problem 20HP

a.

To determine

To write: An absolute value function that represents the pages where club members could stop reading.

Answer to Problem 20HP

The equation is $\left|x-203\right|=10$ .

Explanation of Solution

Given Information: The chapter ends on page $203$ , members agreed to read within ten pages.

Calculation:

Let $x$ be the page number where members could stop reading, chapter ends on page $203$ and members agreed to read within $10$ pages, this implies that the absolute value of difference of $x$ and $203$ will always be $10$ . Mathematically, $\left|x-203\right|=10$ .

Thus, the equation is $\left|x-203\right|=10$ .

b.

To determine

To write: The range of the pages where the club members could stop reading.

Answer to Problem 20HP

The range is $20pages$ .

Explanation of Solution

Given Information: The chapter ends on page $203$ , members agreed to read within ten pages.

Calculation:

Highest page number: $203+10=213$

Lowest page number: $203-10=193$

Range $=Highest-Lowest$

  $\begin{array}{l}=213-193\\ =20\end{array}$

Thus, the range is $20pages$ .