Chapter 9.2, Problem 9CB

To determine

Whether the average rate of change increase or decrease.

Explanation of Solution

Given:

The given graph is:

  

Calculation:

The formula to calculate the average rate of change from initial second $t_1$ to the final second ${\text{t}}_2$ will be:

  $\begin{array}{l}\text{Average rate of change = }\frac{\text{final distance - initial distance}}{{\text{t}}_2-t_1}\\ \text{Average rate of change =}\pm x\text{ cm/s}\end{array}$

If the average rate of change is $-x\text{ cm/s}$ , then it is decreasing and if it is $+x\text{ cm/s}$ , it is increasing.

Use the excel to plot the points on the graph as follows:

  

The graph will be:

  

Make another table as follows:

  

The graph will be: