Chapter 8.5, Problem 19STP

To determine

To find:the constant rate of change

Answer to Problem 19STP

Therefore, the correct option is C.

Explanation of Solution

Given:

A.$2$

B.$\frac{1}{2}$

C.$-\frac{1}{2}$

D.$-2$

  

Calculation:

Consider three points from the graph that shows relationship between distance and time: $(0,3),(2,2,0)$ and $(5,0,5)$ .

In order to find constant rate of change, take any two points and use the formula for rate of change.

  $Rateofchange=\frac{changeiny}{changein\text{ x}}$

It means rate of change is change in time with respect to change in distance.

So, consider two points as: $(2,2,0)$ and $(5,0,5)$

Thus, constant rate of change is:

  $\begin{array}{l}Rateofchange=\frac{0.5-2.0}{5-2}\\ =\frac{-1.5}{3}\\ =-0.5\\ =-\frac{1}{2}\end{array}$

Therefore, the correct option is C.

Conclusion:

Therefore, the correct option is C.