Chapter 8.5, Problem 1CYP

To determine

To Find:Constant rate of change of circle $2$

Answer to Problem 1CYP

Rate of change is $1.5$

Explanation of Solution

Given:Use the graph. Find the constant rate of change of circle $2$ and interpret its meaning.

  

Choose any two points on the line such as $(2,3),(4,6)$

  $(2,3)=2seconds,radius=3cm$

  $(4,6)=4seconds,radius=6cm$

Then

Rate of change = $\frac{\text{ change in radius}}{\text{ change in time}}$

  $=\frac{6-3}{4-2}=\frac{3}{2}=1.5$

This means that the radius of a circle is increasing at a rate of $1.5$ cm per second.