A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance.
Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?
For each 1 minute, the runner ran 9.5 miles.

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.

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)

Step-by-step explanation:

Since the equation of the line best fit is y = 9.5 x, where

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

step-by-step explanation: