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=8x
y equals 8 x

y=10x
y equals 10 x

y=0.1x
y equals 0.1x

y=0.125x

Answer 1

To find the equation relating miles \( y \) to time \( x \) (in minutes) for the day you ran the fastest, you first determine the speed (miles per minute) for the runs on both days.

For Monday:

• Distance = 4 miles
• Time = 40 minutes

Speed = \( \frac{4 \text{ miles}}{40 \text{ minutes}} = \frac{1}{10} \text{ miles per minute} = 0.1 \text{ miles per minute} \)

For Wednesday:

• Distance = 2 miles
• Time = 16 minutes

Speed = \( \frac{2 \text{ miles}}{16 \text{ minutes}} = \frac{1}{8} \text{ miles per minute} = 0.125 \text{ miles per minute} \)

Since you ran faster on Wednesday (0.125 miles/minute), we will use that speed for our equation.

The equation relating \( y \) to \( x \) (where \( y \) is the number of miles and \( x \) is the time in minutes) is:

\[ y = 0.125x \]

Therefore, the answer is:

y = 0.125x