Question

race training
the equation for the line of best fit is ( y = 2x + 6.2 ). according to the equation, which of these statements is true?
cameron increases his weekly running distance by about 2 miles each week.
cameron increases his weekly running distance by about 6.2 miles each week.

Explanation:

Step1: Recall the slope - intercept form of a line

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(y = 2x+6.2\), \(m = 2\) and \(b = 6.2\).

Step2: Interpret the slope

The slope \(m\) represents the rate of change. In the context of the problem, \(x\) is the number of weeks and \(y\) is the weekly distance. The slope \(m = 2\) means that for each increase of \(1\) in \(x\) (each additional week), \(y\) (the weekly distance) increases by \(2\).

Answer:

Cameron increases his weekly running distance by about 2 miles each week.