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=0.125x
y equals 0.125x

y=8x
y equals 8 x

y=10x
y equals 10 x

y=0.1x

Answer 1

To determine the equation that represents the relationship between distance (y in miles) and time (x in minutes) for the day you ran the fastest, we first need to analyze the data you provided.

On Monday, you ran 4 miles in 40 minutes:

• So, the pace is \( \frac{4 \text{ miles}}{40 \text{ minutes}} = 0.1 \text{ miles per minute} \).

On Wednesday, you ran 2 miles in 16 minutes:

• The pace is \( \frac{2 \text{ miles}}{16 \text{ minutes}} = 0.125 \text{ miles per minute} \).

Wednesday's run (2 miles in 16 minutes) is faster, as it has a higher pace in terms of distance per time.

Now we can express the relationship for that day when you ran 2 miles in 16 minutes, which gives us:

• The equation of the line in slope-intercept form (where \(y\) is the distance in miles and \(x\) is the time in minutes) is:

\[ y = 0.125x \]

So the correct answer is:

y = 0.125x