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A runner charted how long it took her to run certain distances. Here is the information she gathered:

A runner charted how long it took her to run certain distances. Here is the information-example-1

2 Answers

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40 minutes. Each mile increases by 8. 8+8=16, 16+8=24, 24+8=32, 32+8=40.
User Ptha
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Answer: The required time taken to run 5 miles is 40 minutes.

Step-by-step explanation: Given that a runner charted the time she took to run certain distances as follows :

minutes 0 8 16 24

miles 0 1 2 3

We are to find the time taken by her to run 5 miles at this pace.

Let x the distance run in miles in time y minutes.

Then, according to the given information, we have

If x = 0, then

y(0) = 0 = 0 × 8.

If x = 1, then

y(1) = 8 = 1 × 8 .

If x = 2, then

y(2) = 16 = 2 × 8.

If x = 3, then

y(3) = 24 = 3 × 8 .

So, we get

y = 3 × x.

Therefore, if x = 5, then we get

y = 5 × 8 = 40.

Thus, the required time taken to run 5 miles is 40 minutes.

User Plato
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