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.

Answer 1

To write the equation, let's compare the time it took to run on Monday and Wednesday:

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

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

To determine the day you ran the fastest, we need to find the larger speed value. Let's define y as the number of miles and x as the time in minutes for the day you ran the fastest, where x can take values of either 40 (for Monday) or 16 (for Wednesday).

We can write the equation as follows:

For Monday (x = 40):
y = 0.1x + 0

For Wednesday (x = 16):
y = 0.125x + 0

To represent the day you ran the fastest, we're looking for the larger value of y.