the scatterplot shows a linear relationship between the distance traveled and the time elapsed. what is the…

the scatterplot shows a linear relationship between the distance traveled and the time elapsed. what is the rate of change of the linear relationship? for every increase in time by 1 hour, the distance increases 36 miles. 54 miles. 72 miles. 90 miles.

the scatterplot shows a linear relationship between the distance traveled and the time elapsed. what is the rate of change of the linear relationship? for every increase in time by 1 hour, the distance increases 36 miles. 54 miles. 72 miles. 90 miles.

Answer

Explanation:

Step1: Recall slope formula

The rate of change of a linear relationship is the slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can choose two points, say $(0.25,18)$ and $(0.75,54)$.

Step2: Identify coordinates

Let $(x_1,y_1)=(0.25,18)$ and $(x_2,y_2)=(0.75,54)$.

Step3: Calculate slope

$m=\frac{54 - 18}{0.75 - 0.25}=\frac{36}{0.5}=72$.

Answer:

72 miles.