Question

deliveries
the equation for the line of best fit is ( y=\frac{4}{5}x+\frac{1}{5} ). according to the equation, which of these statements is true?
it would likely take elana about 6 minutes to unload 4 boxes.
it would likely take elana about 10 minutes to unload 12 boxes.

Explanation:

Step1: Substitute \(x = 4\) into the equation

Substitute \(x = 4\) into \(y=\frac{4}{5}x+\frac{1}{5}\), we get \(y=\frac{4}{5}\times4+\frac{1}{5}=\frac{16 + 1}{5}=\frac{17}{5}=3.4\) (not \(6\)).

Step2: Substitute \(x = 12\) into the equation

Substitute \(x = 12\) into \(y=\frac{4}{5}x+\frac{1}{5}\), we get \(y=\frac{4}{5}\times12+\frac{1}{5}=\frac{48+1}{5}=\frac{49}{5} = 9.8\approx10\).

Answer:

It would likely take Elana about 10 minutes to unload 12 boxes.