Chapter 8.4, Problem 9PPS

To determine

To find:Rate of change for each linear function.

Answer to Problem 9PPS

The rate of change in linear function is decreaseof $3^{\circ }F/hour$ .

Explanation of Solution

Given:

  

Calculation:

Consider the table that shows relation outside temperature after a number of hours.

Time (h) [x]	Temperature ( ${}^{\circ }F$) [y]
1	48
2	45
3	42
4	39

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 temperature with respect to change in time.

So,

  $\begin{array}{l}\text{Rate of change=}\frac{\text{45-48}}{\text{2-1}}\\ \text{=}\frac{-3}{1}=-3\end{array}$

Conclusion:

Therefore, rate of change in linear function is decrease of $3^{\circ }F/hour$ .