Question

alfalfa harvests
the equation for the line of best fit is ( y = 3x + 1 ). according to the equation, which of these statements is true?
philip would likely be able to harvest about 19 acres in 6 hours.
philip would likely be able to harvest about 1 acre in 3 hours.

Explanation:

Step1: Substitute \(x = 6\) into the equation \(y=3x + 1\)

We want to find the value of \(y\) (acres harvested) when \(x = 6\) (hours). Using the formula \(y=3x + 1\), we substitute \(x\) with \(6\). So, \(y=3\times6+1\).

Step2: Calculate the value of \(y\)

First, calculate \(3\times6 = 18\). Then, add \(1\) to the result. So, \(y=18 + 1=19\).

Step3: Analyze the second statement

For the statement “Philip would likely be able to harvest about 1 acre in 3 hours”, if \(x = 3\), then \(y=3\times3+1=9 + 1=10\) (not \(1\)).

Answer:

Philip would likely be able to harvest about 19 acres in 6 hours.