Question

basketball shooting percentage
the equation for the line of best fit is ( y = 2.5x + 18 ). according to the equation, which of these statements is true?
oliver can expect his shooting percentage to increase by about ( 18% ) for each hour he spends practicing.
oliver can expect his shooting percentage to increase by about ( 2.5% ) for each hour he spends practicing.

Explanation:

Step1: Recall the slope - intercept form of a linear equation

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(y=2.5x + 18\), \(x\) represents the practice time (in hours) and \(y\) represents the shooting percentage.

Step2: Interpret the slope

The slope \(m = 2.5\). In the context of the problem, the slope represents the rate of change of \(y\) (shooting percentage) with respect to \(x\) (practice time). For a linear equation \(y=mx + b\), when \(x\) increases by 1 unit (in this case, 1 hour of practice), \(y\) changes by \(m\) units.

Answer:

Oliver can expect his shooting percentage to increase by about \(2.5\%\) for each hour he spends practicing.