To find an equation for the number of miles (y) as a function of time (x), we can consider the given information about the two training sessions.
On Monday, you ran 4 miles in 40 minutes. This means your speed was 4 miles / 40 minutes, or 1/10 mile per minute.
On Wednesday, you ran 2 miles in 16 minutes. This implies your speed was 2 miles / 16 minutes, or 1/8 mile per minute.
Since we are looking for the day you ran the fastest, we need to find the highest speed. Comparing the speeds from Monday and Wednesday, we can see that 1/8 is greater than 1/10. Therefore, Wednesday was the day you ran the fastest in terms of speed.
To write an equation, we can assign x as the time in minutes for the day you ran the fastest, which is Wednesday. Likewise, we will assign y as the number of miles you ran.
Hence, the equation for Wednesday's training session is:
y = (1/8)x
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 ybis the number of miles and x is the time in minutes foe the day you ran the fastest for the week
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