The missing choices are:
(A) for each 1 minute, the runner ran 9.5 miles.
(B) for each 9.5 minutes, the runner ran 1 mile.
(C) the minimum distance with a recorded time is 9.5 miles.
(D) the maximum distance with a recorded time is 9.5 miles.
Answer:
The interpretation that describes the line best fit of y = 9.5 x is: for each 9.5 minutes, the runner ran 1 mile. ⇒ (B)
Explanation:
Since the equation of the line best fit is y = 9.5 x, where
- x is the number of miles run
- y is the time in minutes
- 9.5 is the rate of change of the time to the mile
The rate of change = change of y/ change of x
∵ y represents the time in minutes
∵ x represents the distance in miles
∴ The rate of change = minutes / mile
∵ The rate of change = 9.5 minutes / 1 mile
∴ The interpretation describes the line best fit is:
For each 9.5 minutes, the runner ran 1 mile