Question

Eric is preparing for a regional swim meet that is a month away. He swims the same distance and clocks his best time on several different days. He plots the best time (in minutes) he swam each day as his y-variable and the day he swam it as his x-variable. When he plots his times and finds a line of best fit, he gets the equation y=−0.03x+3.45.

If Eric continues to practice, on the 15th day his best time for the day should be _[blank]_ minutes.


Enter the value that correctly fills in the blank, like this: 42


Do not round your answer.

Answer 1

On the 15th day his best time for the day is 3 minutes.

Explanation:

The line that best fits is

`y=-0.03x+3.45`

Where
`x` is days and
`y` is time in minutes. So, we have
`x=15`, replacing this in the equation and solving for
`y`, we have

`y=-0.03(15)+3.45=-0.45+3.45=3`

Therefore, on the 15th day his best time for the day is 3 minutes.