Chapter 8.4, Problem 12PPS

To determine

To find:Rate of change for each linear function.

Answer to Problem 12PPS

The rate of change for is decrease of 10 books/days.

Explanation of Solution

Given:

  

Calculation:

Consider the table that shows number of books at different days:

Time (days) [x]	Number of books [y]
0	120
4	80
8	40

The rate of change is change in one quality with respect to another quantity.

Mathematically:

  $Rateof\text{}\text{}\text{}\text{}change=\frac{change\text{}\text{}iny}{changeinx}$

Thus, the rate of change is change in number of books with respect to change in time.

So, the rate of change is:

  $\begin{array}{l}\text{Rate of change=}\frac{\text{80-120}}{\text{4-0}}\\ =\frac{-40}{4}=-10\end{array}$

Conclusion:

Therefore, rate of change for is decrease of 10 books/days.