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

A: y = 10x

B: y = 0.1x

C: y = 0.125x

D: 8x

1 answer

To find the equation that represents the relationship between the number of miles (y) and the time in minutes (x) for the day you ran the fastest, we need to find the day with the lowest time and the corresponding number of miles ran.

On Monday, you ran 4 miles in 40 minutes, which means your speed was 4 miles/40 minutes = 0.1 miles per minute.

On Wednesday, you ran 2 miles in 16 minutes, which means your speed was 2 miles/16 minutes = 0.125 miles per minute.

Since Wednesday's speed (0.125 miles per minute) is greater than Monday's speed (0.1 miles per minute), Wednesday must be the day you ran the fastest.

Thus, the equation that represents the fastest day is:
y = 0.125x

Therefore, the correct answer is option C: y = 0.125x.