Question
Which situation can be represented by the equation
?
A
It took Calvin 1141\frac{1}{4}1
4
1
hours to run 666 miles. He ran 7127\frac{1}{2}7
2
1
miles per hour.
B
Sara read for 1141\frac{1}{4}1
4
1
every day for 666 days. She read for a total of 7127\frac{1}{2}7
2
1
hours.
C
Matthew addressed 1141\frac{1}{4}1
4
1
envelopes in 666 minutes. He addressed 7127\frac{1}{2}7
2
1
envelopes per minute.
D
It took Beth 1141\frac{1}{4}1
4
1
minutes to paint 666 feet of a board. She painted a total of 7127\frac{1}{2}7
2
1
feet of the board.
Answers
GPT-4o mini
To determine which situation can be represented by the equation \( 1141 \frac{1}{4} = 666 \times \text{(rate)} \), we need to analyze each option in the context of the equation.
- **Option A**: It took Calvin \( 1141 \frac{1}{4} \) hours to run 666 miles. He ran \( 7127 \frac{1}{2} \) miles per hour.
In this case, the relationship can be expressed as:
\[
\text{time} = \frac{\text{distance}}{\text{rate}} \rightarrow 1141 \frac{1}{4} = \frac{666}{\text{(rate)}}
\]
This does not match our equation.
- **Option B**: Sara read for \( 1141 \frac{1}{4} \) hours every day for 666 days. She read for a total of \( 7127 \frac{1}{2} \) hours.
The total reading hours can be calculated as:
\[
\text{total hours} = \text{time per day} \times \text{number of days} \rightarrow 7127 \frac{1}{2} = 1141 \frac{1}{4} \times 666
\]
This matches the equation \( 1141 \frac{1}{4} \times 666 = 7127 \frac{1}{2} \).
- **Option C**: Matthew addressed \( 1141 \frac{1}{4} \) envelopes in 666 minutes. He addressed \( 7127 \frac{1}{2} \) envelopes per minute.
This relationship would be:
\[
\text{time} = \frac{\text{distance}}{\text{rate}} \rightarrow 1141 \frac{1}{4} = \frac{666}{\text{(rate)}}
\]
This does not match our equation.
- **Option D**: It took Beth \( 1141 \frac{1}{4} \) minutes to paint 666 feet of a board. She painted a total of \( 7127 \frac{1}{2} \) feet of the board.
Here, it would be:
\[
\text{time} = \frac{\text{distance}}{\text{rate}} \rightarrow 1141 \frac{1}{4} = \frac{666}{\text{(rate)}}
\]
This does not match our equation.
Based on the analysis, the situation that can be represented by the given equation is:
**B** Sara read for \( 1141 \frac{1}{4} \) hours every day for 666 days. She read for a total of \( 7127 \frac{1}{2} \) hours.
- **Option A**: It took Calvin \( 1141 \frac{1}{4} \) hours to run 666 miles. He ran \( 7127 \frac{1}{2} \) miles per hour.
In this case, the relationship can be expressed as:
\[
\text{time} = \frac{\text{distance}}{\text{rate}} \rightarrow 1141 \frac{1}{4} = \frac{666}{\text{(rate)}}
\]
This does not match our equation.
- **Option B**: Sara read for \( 1141 \frac{1}{4} \) hours every day for 666 days. She read for a total of \( 7127 \frac{1}{2} \) hours.
The total reading hours can be calculated as:
\[
\text{total hours} = \text{time per day} \times \text{number of days} \rightarrow 7127 \frac{1}{2} = 1141 \frac{1}{4} \times 666
\]
This matches the equation \( 1141 \frac{1}{4} \times 666 = 7127 \frac{1}{2} \).
- **Option C**: Matthew addressed \( 1141 \frac{1}{4} \) envelopes in 666 minutes. He addressed \( 7127 \frac{1}{2} \) envelopes per minute.
This relationship would be:
\[
\text{time} = \frac{\text{distance}}{\text{rate}} \rightarrow 1141 \frac{1}{4} = \frac{666}{\text{(rate)}}
\]
This does not match our equation.
- **Option D**: It took Beth \( 1141 \frac{1}{4} \) minutes to paint 666 feet of a board. She painted a total of \( 7127 \frac{1}{2} \) feet of the board.
Here, it would be:
\[
\text{time} = \frac{\text{distance}}{\text{rate}} \rightarrow 1141 \frac{1}{4} = \frac{666}{\text{(rate)}}
\]
This does not match our equation.
Based on the analysis, the situation that can be represented by the given equation is:
**B** Sara read for \( 1141 \frac{1}{4} \) hours every day for 666 days. She read for a total of \( 7127 \frac{1}{2} \) hours.