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=10x
y equals 10 x
y=0.125x
y equals 0.125x
y=8x
y equals 8 x
y=0.1x
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=10x
y equals 10 x
y=0.125x
y equals 0.125x
y=8x
y equals 8 x
y=0.1x
Answers
GPT-4o mini
To write an equation relating the number of miles \( y \) to the time in minutes \( x \) for the day you ran the fastest (which is Wednesday), we first need to find the rate of speed for that run.
On Wednesday, you ran 2 miles in 16 minutes. To find the rate in miles per minute, we can calculate:
\[
\text{Rate} = \frac{\text{miles}}{\text{minutes}} = \frac{2 \text{ miles}}{16 \text{ minutes}} = \frac{1}{8} \text{ miles per minute} = 0.125 \text{ miles per minute}
\]
Now, we can express \( y \) (miles) in terms of \( x \) (minutes) using the rate we calculated:
\[
y = 0.125x
\]
Thus, the correct equation is:
**y = 0.125x**
This corresponds to the second response: \( y \text{ equals } 0.125x \).
On Wednesday, you ran 2 miles in 16 minutes. To find the rate in miles per minute, we can calculate:
\[
\text{Rate} = \frac{\text{miles}}{\text{minutes}} = \frac{2 \text{ miles}}{16 \text{ minutes}} = \frac{1}{8} \text{ miles per minute} = 0.125 \text{ miles per minute}
\]
Now, we can express \( y \) (miles) in terms of \( x \) (minutes) using the rate we calculated:
\[
y = 0.125x
\]
Thus, the correct equation is:
**y = 0.125x**
This corresponds to the second response: \( y \text{ equals } 0.125x \).