Question

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

Explanation:

Step1: Analyze the first statement

Substitute \(x = 60\) into \(y = 0.4x + 60\): \(y = 0.4(60) + 60 = 24 + 60 = 84\). So score is 84%, not 100%.

Step2: Analyze the second statement

No studying means \(x = 0\): \(y = 0.4(0) + 60 = 60\). So score is 60%.

Step3: Determine the true statement

The second statement matches the calculation.

Answer:

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