Question

the equation for the line of best fit is $y = \frac{1}{10}x + 4$.
in this context, what is the meaning of the slope?

by driving 4 additional miles, the family could expect to see one
additional out-of-state plate.

by driving 10 additional miles, the family could expect to see one
additional out-of-state plate.

on a given trip, the family could expect to see at least 4 out-of-state
plates.

on a given trip, the family could expect to see plates from at least $\frac{1}{10}$ of
the states.

Explanation:

The line of best fit is in slope-intercept form \(y = mx + b\), where \(m\) is the slope. Here, the slope \(m = \frac{1}{10}\). The slope represents the change in \(y\) (number of out-of-state plates) per unit change in \(x\) (miles driven). So, for a change of 1 in \(y\), the change in \(x\) is \(\frac{1}{m} = 10\). This means 10 additional miles correspond to 1 additional plate.

Answer:

By driving 10 additional miles, the family could expect to see one additional out-of-state plate.