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. pick from these answers: 1. y = 10x 2. y = 8x 3. y = 0.125x or 4. y = 0.1

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation that relates the number of miles (y) with the time in minutes (x) for the day you ran the fastest in the week, we need to compare the pace of Monday and Wednesday.

First, let's find the pace for Monday by dividing the distance (4 miles) by the time (40 minutes):
Pace (Monday) = 4 miles / 40 minutes = 0.1 miles per minute

Now, let's find the pace for Wednesday by dividing the distance (2 miles) by the time (16 minutes):
Pace (Wednesday) = 2 miles / 16 minutes = 0.125 miles per minute

Since the pace on Wednesday (0.125 miles per minute) is faster than Monday (0.1 miles per minute), we can conclude that Wednesday was the day you ran the fastest for the week.

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

y = 0.125x

So, the correct equation is 3. y = 0.125x.