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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.(1 point)
Responses

y=8x
y equals 8 x

y=0.125x
y equals 0.125x

y=0.1x
y equals 0.1x

y=10x .

1 answer

To find the equation where \( y \) is the number of miles and \( x \) is the time in minutes for the day you ran the fastest, we first need to determine the running speeds for both days.

  1. Monday's run:

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

  2. Wednesday's run:

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

The fastest day is Wednesday, with a speed of 0.125 miles per minute.

Using the equation for a line (where \( y \) is the distance in miles and \( x \) is the time in minutes), we can express this relationship:

\[ y = 0.125x \]

So the correct response is:

y = 0.125x