Question

free - throw percentages
the equation for the line of best fit is ( y = 4.8x + 33.4 ). according to the equation, which of these statements is true?
over 1 week of training, a typical team member improved by about 33%.
before the training program started, a typical team member made about 33% of their free throws.

Explanation:

Step1: Analyze the linear equation \(y = 4.8x+33.4\)

In the linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the \(y\) - intercept), for the equation \(y = 4.8x+33.4\), when \(x = 0\) (before the training program started, since \(x\) represents the number of weeks of training), we substitute \(x = 0\) into the equation.

Step2: Substitute \(x = 0\) into the equation

When \(x = 0\), \(y=4.8\times0 + 33.4\). Using the order of operations (multiplication first, then addition), \(4.8\times0=0\), so \(y = 33.4\approx33\).

Answer:

Before the training program started, a typical team member made about \(33\%\) of their free throws.