Question

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 not run any laps would likely have a heart rate of about 85 beats per minute.
a student who has run 5 laps would likely have a heart rate of about 90 beats per minute.

Explanation:

Step1: Analyze the y - intercept

In the linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept), for the equation \(y=5x + 85\), when \(x = 0\) (no laps run), \(y=5\times0+85=85\).

Step2: Analyze the value for \(x = 5\)

When \(x = 5\) (5 laps run), \(y=5\times5+85=25 + 85=110
eq90\)

Answer:

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