Question

Find and interpret the slope.The number of cubic feet of water y in a reservoir x hours after the water starts flowing into the reservoiris a linear function. The points (30,4,000) and (50,5,000) 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 ofcubic feet each hour.

Answer 1

the slope is;

`m=50`

The amount of water in the reservoir is increasing at a rate of 50 cubic feet each hour.

Step-by-step explanation:

The formula for slope is;

`m=\frac{\Delta y_{}}{\Delta x}=(y_2-y_1)/(x_2-x_1)`

Given the points;

`\begin{gathered} (30,4000) \\ \text{and} \\ (50,5000) \end{gathered}`

Substituting the values;

`\begin{gathered} m=(5000-4000)/(50-30) \\ m=(1000)/(20) \\ m=50 \end{gathered}`

Therefore, the slope is;

`m=50`

The amount of water in the reservoir is increasing at a rate of 50 cubic feet each hour.