Chapter 8.1, Problem 33E

To determine

The total gallons of water pumped from the tank in $24$ hours.

Answer to Problem 33E

The total gallons of water is approximately $3600$ option (c).

Explanation of Solution

Given information:

The graph below shows the rate at which water is pumped from a storage tank.

  

Formula:

Area of a trapezoid $=\frac{1}{2}\left(base1+base2\right)\left(height\right)$

Area of a trapezoid $=\frac{1}{2}\left(base1+base2\right)\left(height\right)$

Solve for height,

  $\Rightarrow \frac{b-a}{n}=h$

We are focusing the area below the line which seems to be like a trapezoid with height is found to be,

  $\begin{array}{l}\frac{24-0}{1}=24\\ \Rightarrow h=24\end{array}$

Base1 starts from $50$ and Base 2 starts from $250$ ,

Area of a trapezoid $=\frac{1}{2}\left(base1+base2\right)\left(height\right)$

  $\frac{1}{2}\left(50+250\right)\left(24\right)=3600$

Therefore, the total gallons of water is approximately $3600$ option (c).