Question

walk to school
the equation for the line of best fit is ( y=\frac{1}{5}x + 8 ). according to the equation, which of these statements is true?
betty takes about 1 extra minute to walk to school for every 5 degree increase in temperature.
betty takes about 1 extra minute to walk to school for every 5 degree decrease in temperature.

Explanation:

Step1: Analyze the slope of the line - best - fit equation

The equation of the line of best fit is \(y=\frac{1}{5}x + 8\), where \(y\) is the walk time (in minutes) and \(x\) is the morning temperature (\(^{\circ}F\)). The slope of the line is \(m=\frac{1}{5}\).
The slope formula is \(m=\frac{\Delta y}{\Delta x}\). Here, \(m = \frac{1}{5}\) means that for every increase of \(\Delta x = 5\) in \(x\) (temperature), there is an increase of \(\Delta y=1\) in \(y\) (walk - time).

Answer:

Betty takes about 1 extra minute to walk to school for every 5 degree increase in temperature.