Question

the equation for the line of best fit is ( y = -\frac{1}{2}x + 45 ). according to the equation, which of these statements is true?
a road with 12 houses per mile would likely have a speed limit of about 50 miles per hour.
a road with 32 houses per mile would likely have a speed limit of about 30 miles per hour.

Explanation:

Step1: Substitute \(x = 12\) into the equation \(y=-\frac{1}{2}x + 45\)

When \(x = 12\), \(y=-\frac{1}{2}\times12+45=-6 + 45=39
eq50\)

Step2: Substitute \(x = 32\) into the equation \(y=-\frac{1}{2}x + 45\)

When \(x = 32\), \(y=-\frac{1}{2}\times32+45=-16 + 45=29\approx30\)

Answer:

A road with 32 houses per mile would likely have a speed limit of about 30 miles per hour.