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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.

Find and interpret the slopeThe number of cubic feet of water y in a reservoir x hours after the water starts flowing into the reservoiris a linear function The class=

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Answer:

the slope is;

[tex]m=50[/tex]

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

Explanation:

The formula for slope is;

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

Given the points;

[tex]\begin{gathered} (30,4000) \\ \text{and} \\ (50,5000) \end{gathered}[/tex]

Substituting the values;

[tex]\begin{gathered} m=\frac{5000-4000}{50-30} \\ m=\frac{1000}{20} \\ m=50 \end{gathered}[/tex]

Therefore, the slope is;

[tex]m=50[/tex]

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