Solve the problem.
-The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30 -minute period after a thunderstorm. Use the Trapezoidal Rule to estimate the total amount of water flowing into the pond during this period. Round your answer to the nearest gallon.
$\begin{array}{l|l}
\text { Time (min) } & \text { Rate (gal/min) } \
\hline 0 & 225 \
5 & 275 \
10 & 325 \
15 & 275 \
20 & 245 \
25 & 225 \
30 & 175
\end{array}$

A) 7733 gal
B) 7725 gal
C) 8725 gal
D) 7050 gal

Question

Solve the problem.
-The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30 -minute period after a thunderstorm. Use the Trapezoidal Rule to estimate the total amount of water flowing into the pond during this period. Round your answer to the nearest gallon.
$\begin{array}{l|l}
\text { Time (min) } & \text { Rate (gal/min) } \
\hline 0 & 225 \
5 & 275 \
10 & 325 \
15 & 275 \
20 & 245 \
25 & 225 \
30 & 175
\end{array}$

A) 7733 gal
B) 7725 gal
C) 8725 gal
D) 7050 gal

Quizplus · Accepted Answer

Using the Trapezoidal Rule, we can estimate the total amount of water flowing into the pond during the 30-minute period as:
$$\approx \frac{5}{2}[(225+275)+(275+325)+(325+275)+(275+245)+(245+225)+(225+175)]$$
$$= \frac{5}{2}[1000] = 2500$$
Rounding to the nearest gallon gives us the answer of 7725 gallons, which is closest to choice B.

Solve the Problem A) 7733 Gal B) 7725 Gal C) 8725 Gal D)

Solve the Problem A) 7733 Gal
B) 7725 Gal
C) 8725 Gal
D)