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=0.1x
y equals 0.1x

y=8x

y equals 8x

are you sure

Apologies, my previous response was incorrect. Let me reassess the information given.

On Monday, you ran 4 miles in 40 minutes, which means your pace was 1 mile in 10 minutes. On Wednesday, you ran 2 miles in 16 minutes, which means your pace was 1 mile in 8 minutes.

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 would be:

y = 8x

y=8x

To find the equation where y represents the number of miles and x represents the time in minutes for the day you ran the fastest in the week, we need to compare the two given scenarios.

From the information provided, we know that on Monday, you ran 4 miles in 40 minutes, and on Wednesday, you ran 2 miles in 16 minutes.

To determine which day you ran the fastest, we need to calculate the speed or rate at which you were running. Speed is defined as the distance traveled divided by the time taken.

For Monday:
Speed = Distance / Time = 4 miles / 40 minutes = 0.1 miles/minute

For Wednesday:
Speed = Distance / Time = 2 miles / 16 minutes = 0.125 miles/minute

Since 0.125 miles/minute is faster than 0.1 miles/minute, we can conclude that you ran the fastest on Wednesday.

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

y = 0.125x