Question

the students at oak hill middle school ran laps around the gym and then recorded their heart rates. this scatter plot shows the data for some of the students along with the line of best fit. students running laps the equation for the line of best fit is y = 5x + 85. according to the equation, which of these statements is true? a student who has run 5 laps would likely have a heart rate of about 90 beats per minute. a student who has not run any laps would likely have a heart rate of about 85 beats per minute.

Explanation:

Step1: Analyze the linear - equation

The equation of the line of best fit is $y = 5x+85$, where $x$ is the number of laps and $y$ is the heart rate.

Step2: Test the first statement

When $x = 5$ (5 laps), substitute $x$ into the equation: $y=5\times5 + 85=25 + 85=110$ beats per minute. So the first statement is false.

Step3: Test the second statement

When $x = 0$ (no laps), substitute $x$ into the equation: $y=5\times0+85 = 85$ beats per minute. So the second statement is true.

Answer:

A student who has not run any laps would likely have a heart rate of about 85 beats per minute.