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.