Question

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.
For each 9.5 minutes, the runner ran 1 mile.
The minimum distance with a recorded time is 9.5 miles.
The maximum distance with a recorded time is 9.5 miles.

Answer 1

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

How to interpret the equation?

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

• x ⇒ number of miles run
• y ⇒ time

This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

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Answer 2

Answer:

For each 1 minute, the runner ran 9.5 miles.

Step-by-step explanation: