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)

Question

Responses

y=8x
y equals 8 x

y=0.1x
y equals 0.1x

y=0.125x
y equals 0.125x

y=10x
y equals 10 x
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Answer 1

To determine the equation that represents the relationship between the number of miles (y) and time in minutes (x) based on the fastest day of running, we first need to find the running speed for each day:

1. On Monday:

   • Distance = 4 miles
   • Time = 40 minutes
   • Speed = Distance / Time = 4 miles / 40 minutes = 0.1 miles per minute

2. On Wednesday:

   • Distance = 2 miles
   • Time = 16 minutes
   • Speed = Distance / Time = 2 miles / 16 minutes = 0.125 miles per minute

The fastest day to run is Monday with the speed of 0.1 miles per minute. Thus, the equation can be expressed as:

\[ y = 0.1x \]

So the correct response is:

y = 0.1x.