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

Question

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=0.1x
y equals 0.1x

y=10x
y equals 10 x

y=0.125x
y equals 0.125x

y=8x

Answer 1

To find the equation for the relationship between the number of miles \( y \) and the time in minutes \( x \) for the day you ran the fastest (which was Wednesday, when you ran 2 miles in 16 minutes), we can calculate the slope (rate of miles per minute).

On Wednesday:

• You ran 2 miles in 16 minutes.

The slope (rate of change) is given by: \[ \text{slope} = \frac{\text{miles}}{\text{time}} = \frac{2 \text{ miles}}{16 \text{ minutes}} = \frac{1}{8} \text{ miles per minute} = 0.125 \]

Now we can write the equation: \[ y = 0.125x \]

Therefore, the correct response is: y = 0.125x.