Question
Question
You are training twice a week for a race. On Monday, you go 4 miles in 40 minutes. Then on Wednesday you go 2 miles in 16 minutes. Write an equation where y
is the number of miles and x
is the time in minutes for the day you ran the fastest for the week.(1 point)
Responses
y=0.125x
y equals 0.125x
y=10x
y equals 10 x
y=0.1x
y equals 0.1x
y=8x
y equals 8 x
You are training twice a week for a race. On Monday, you go 4 miles in 40 minutes. Then on Wednesday you go 2 miles in 16 minutes. Write an equation where y
is the number of miles and x
is the time in minutes for the day you ran the fastest for the week.(1 point)
Responses
y=0.125x
y equals 0.125x
y=10x
y equals 10 x
y=0.1x
y equals 0.1x
y=8x
y equals 8 x
Answers
GPT-4o mini
To find the equation relating the number of miles (y) to the time in minutes (x), we need to determine the rate of speed for each workout.
1. **Monday's run**:
- 4 miles in 40 minutes.
- Speed = \( \frac{4 \text{ miles}}{40 \text{ minutes}} = 0.1 \text{ miles per minute} \).
2. **Wednesday's run**:
- 2 miles in 16 minutes.
- Speed = \( \frac{2 \text{ miles}}{16 \text{ minutes}} = 0.125 \text{ miles per minute} \).
The fastest pace is on Wednesday, where the speed is 0.125 miles per minute. Therefore, the equation where y is the number of miles and x is the time in minutes is:
\[ y = 0.125x \]
Thus, the correct response is:
y = 0.125x.
1. **Monday's run**:
- 4 miles in 40 minutes.
- Speed = \( \frac{4 \text{ miles}}{40 \text{ minutes}} = 0.1 \text{ miles per minute} \).
2. **Wednesday's run**:
- 2 miles in 16 minutes.
- Speed = \( \frac{2 \text{ miles}}{16 \text{ minutes}} = 0.125 \text{ miles per minute} \).
The fastest pace is on Wednesday, where the speed is 0.125 miles per minute. Therefore, the equation where y is the number of miles and x is the time in minutes is:
\[ y = 0.125x \]
Thus, the correct response is:
y = 0.125x.