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=0.1x
y equals 0.1x

y=0.125x
y equals 0.125x

y=8x
y equals 8 x

y=10x

y=10x

y=0.125x

In order to find the equation representing the relationship between the number of miles (y) and the time in minutes (x) for the day you ran the fastest during the week, we need to compare the data from Monday and Wednesday.

Let's start by gathering the relevant information from both days:
- On Monday, you ran 4 miles in 40 minutes.
- On Wednesday, you ran 2 miles in 16 minutes.

To find the speed (miles per minute) for each day, we divide the number of miles by the time in minutes:
- On Monday: speed = 4 miles / 40 minutes = 0.1 miles per minute.
- On Wednesday: speed = 2 miles / 16 minutes = 0.125 miles per minute.

Since we want to determine the day you ran the fastest, we need to find the day with the highest speed. Comparing the calculated speeds, we can see that 0.125 miles per minute (Wednesday) is higher than 0.1 miles per minute (Monday).

Therefore, the equation representing the relationship between the number of miles (y) and the time in minutes (x) for the fastest day is:
y = 0.125x