Respuesta :

Given:

Find-:

Rate is the depth of the pool water increasing

Explanation-:

The rate of change is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Choose any two points is:

[tex]\begin{gathered} (x_1,y_1)=(2,1) \\ \\ (x_2,y_2)=(4,2) \end{gathered}[/tex]

So, the rate of change is:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{2-1}{4-2} \\ \\ m=\frac{1}{2} \end{gathered}[/tex]

So, 1/2 ft per hour

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