Question

performance on math quizzes
the equation for the line of best fit is ( y = 0.4x + 60 ). according to the equation, which of these statements is true?
dan can expect to score about ( 60% ) if he does not spend any time studying.
if dan studies for 60 minutes, he will score about ( 100% ).

Explanation:

Step1: Analyze the y - intercept

The equation of the line is \(y = 0.4x+60\). In the slope - intercept form \(y=mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept), when \(x = 0\) (no study time), \(y=0.4\times0 + 60=60\).

Step2: Analyze the second statement

When \(x = 60\), substitute into the equation \(y=0.4\times60+60\).

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Answer:

Dan can expect to score about \(60\%\) if he does not spend any time studying.