Question

At what rate is the depth of the pool water increasing?

Answer 1

Given:

Find-:

Rate is the depth of the pool water increasing

Explanation-:

The rate of change is:

`m=(y_2-y_1)/(x_2-x_1)`

Choose any two points is:

`\begin{gathered} (x_1,y_1)=(2,1) \\ \\ (x_2,y_2)=(4,2) \end{gathered}`

So, the rate of change is:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ m=(2-1)/(4-2) \\ \\ m=(1)/(2) \end{gathered}`

So, 1/2 ft per hour