Chapter 8, Problem 24SGR

To determine

To find: the rate of change for the linear function

Answer to Problem 24SGR

Rate of change is $7.75 per hour

Explanation of Solution

Given:

Time (h) x	0	4	8
Money Earned ($) y	0	31	62

Calculation:

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

Mathematically:

  $\text{Rate of change}=\frac{\text{change in }y}{\text{change in }x}$

Thus, the rate of change is change in money earned with respect to change in time.

  $\begin{array}{c}\text{Rate of change}=\frac{62-31}{8-4}\\ =\frac{31}{4}\\ =7.75\end{array}$

Conclusion:

Therefore, rate of change is $7.75 per hour