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

Question

A: y=0.1x
B: y=8x
C: y=0.125x
D: y=10x

Answer 1

To determine the equation, we need to find the speed of each workout (in miles per minute) by dividing the distance by the time.

For Monday's workout, the speed is 4 miles / 40 minutes = 0.1 miles per minute.
For Wednesday's workout, the speed is 2 miles / 16 minutes = 0.125 miles per minute.

Since we are looking for the fastest workout, we need to find the equation for when the speed is the highest. Looking at the options:
A: y = 0.1x,
B: y = 8x,
C: y = 0.125x,
D: y = 10x.

We can see that option D: y = 10x represents the highest speed (10 miles per minute) and thus the fastest workout.

Therefore, the correct equation is D: y = 10x.

Answer 2

wrong

Answer 3

Apologies for the mistake. Let's calculate the speed for each workout:

For Monday's workout, the speed is 4 miles / 40 minutes = 0.1 miles per minute.
For Wednesday's workout, the speed is 2 miles / 16 minutes = 0.125 miles per minute.

Since we are looking for the fastest workout, we need to find the equation for when the speed is the highest. Looking at the options:
A: y = 0.1x,
B: y = 8x,
C: y = 0.125x,
D: y = 10x.

We can see that option C: y = 0.125x represents the highest speed (0.125 miles per minute) and thus the fastest workout.

Therefore, the correct equation is C: y = 0.125x.