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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=8x
B. y=0.125x
C. y=0.1x
D. y=10x

1 answer

To find the equation that represents the relationship between the number of miles (y) and the time in minutes (x) on the day you ran the fastest, we first need to determine the pace (miles per minute) for each day.

  1. Monday's Run:

    • Miles: 4
    • Time: 40 minutes
    • Pace: \( \frac{4 \text{ miles}}{40 \text{ minutes}} = 0.1 \text{ miles per minute} \)

  2. Wednesday's Run:

    • Miles: 2
    • Time: 16 minutes
    • Pace: \( \frac{2 \text{ miles}}{16 \text{ minutes}} = 0.125 \text{ miles per minute} \)

The fastest run (the one with the highest pace) is the Wednesday run, with a pace of \( 0.125 \) miles per minute.

Now, we can create the equation using this pace. The equation that represents this relationship is: \[ y = 0.125x \]

Thus, the correct choice is: B. y=0.125x.