Question

Find and Interpret the slope. The number of cubic feet of water in a reservoir x hours after the water starts flowing into the reservoir is a linear function. The points (40, 2,000) and (60, 3,000) are on the line of the function. The slope is ____ which means that the amount of water in the reservoir is increasing at a rate of _____cubic feet each hour.

Answer 1

Slope = 50

Step-by-step explanation:

Given the two points (40, 2,000) and (60, 3,000) on the line of the function.

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(3000-2000)/(60-40) \\ =(1000)/(20) \\ =50 \end{gathered}`

The slope is 50 which means that the amount of water in the reservoir is increasing at a rate of 50 cubic feet each hour.​