Chapter 8.4, Problem 5PPS

To determine

To find:Rate of change for each linear function.

Answer to Problem 5PPS

The rate of change in linear function is increase of 15 miles/hour.

Explanation of Solution

Given:

  

Calculation:

Consider the table that shows time and distance covered while riding a bicycle is :

Total time (h) [x]	Distance (mi) [y]
1	15
2	30

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

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

So,

  $\begin{array}{l}\text{Rate}\text{of}\text{change=}\frac{\text{30-15}}{\text{2-1}}\\ \text{=}\frac{\text{15}}{\text{1}}\text{=15}\end{array}$

Conclusion:

Therefore, rate of change in linear function is increase of 15 miles/hour.