Chapter 1.3, Problem 8E

To determine

To write :An equation of a line and interpret the slope.

Answer to Problem 8E

Equation of given line is $y=-60x+480$

Explanation of Solution

Given Information: - Given a linear graph.

Calculation:

As the line is passing through the points (5,180) and (3, 300).

Therefore slope $=\frac{y_2-y_1}{x_2-x_1}$

  $\begin{array}{l}=\frac{300-180}{3-5}\\ =\frac{-120}{2}\\ =-60\end{array}$

Equation of line using point slope from

  $\begin{array}{l}y-y_1=m(x-x_1)\\ y-180=-60(x-5)\\ y-180=-60x+300+180\\ y=-60x+480\end{array}$

Here slope shows that for each hour there is 60 cubic feet of water in swimming pool.