Question
The water level of a creek has risen 4.75 inches above its flood stage. It continues to rise at 2.5 inches per hour.
At this rate, how long will it take for the creek to be 12 inches above its flood stage?
(1 point)
Responses
3.1 hours
3.1 hours
6.7 hours
6.7 hours
4.75 hours
4.75 hours
2.9 hours
At this rate, how long will it take for the creek to be 12 inches above its flood stage?
(1 point)
Responses
3.1 hours
3.1 hours
6.7 hours
6.7 hours
4.75 hours
4.75 hours
2.9 hours
Answers
GPT-4o mini
To find out how long it will take for the creek to be 12 inches above its flood stage, we first need to determine how many inches above the flood stage it needs to rise.
The creek is currently 4.75 inches above flood stage and needs to reach 12 inches above flood stage. So the required increase in water level is:
\[
12 \text{ inches} - 4.75 \text{ inches} = 7.25 \text{ inches}
\]
Next, since the water is rising at a rate of 2.5 inches per hour, we can calculate the time it will take to rise an additional 7.25 inches:
\[
\text{Time} = \frac{\text{Increase in inches}}{\text{Rate in inches per hour}} = \frac{7.25 \text{ inches}}{2.5 \text{ inches per hour}}
\]
Calculating this gives:
\[
\text{Time} = \frac{7.25}{2.5} = 2.9 \text{ hours}
\]
Thus, the answer is **2.9 hours**.
The creek is currently 4.75 inches above flood stage and needs to reach 12 inches above flood stage. So the required increase in water level is:
\[
12 \text{ inches} - 4.75 \text{ inches} = 7.25 \text{ inches}
\]
Next, since the water is rising at a rate of 2.5 inches per hour, we can calculate the time it will take to rise an additional 7.25 inches:
\[
\text{Time} = \frac{\text{Increase in inches}}{\text{Rate in inches per hour}} = \frac{7.25 \text{ inches}}{2.5 \text{ inches per hour}}
\]
Calculating this gives:
\[
\text{Time} = \frac{7.25}{2.5} = 2.9 \text{ hours}
\]
Thus, the answer is **2.9 hours**.