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=8x
y equals 8 x

y=0.125x
y equals 0.125x

y=0.1x
y equals 0.1x

y=10x
y equals 10 x
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Answer 1

To find the correct equation, we first need to determine the rate of miles per minute for the day you ran the fastest. You've run on Monday and Wednesday, but you ran 4 miles in 40 minutes on Monday and 2 miles in 16 minutes on Wednesday.

Let's calculate the rate for each day:

**Monday:**
- Distance = 4 miles
- Time = 40 minutes

Rate = Distance / Time = 4 miles / 40 minutes = 0.1 miles per minute

**Wednesday:**
- Distance = 2 miles
- Time = 16 minutes

Rate = Distance / Time = 2 miles / 16 minutes = 0.125 miles per minute

Now, looking at both rates, you ran faster on Wednesday with a rate of **0.125 miles per minute**. Therefore, we can write the equation based on the rate for that day.

Thus, the equation where \( y \) is the number of miles and \( x \) is the time in minutes for Wednesday is:

\[ y = 0.125x \]

So, the correct response is:

**y = 0.125x**