Question

ted is renting a van for a road trip from abbys autos. there is an initial fee for the rental and an additional charge that depends on how many miles he drives it. there is a linear relationship between the distance ted drives, in miles, and the total cost. distance (miles) total cost 0 $50.00 20 $60.00 40 $70.00 60 $80.00 describe the rate of change for this relationship. the total cost of the rental by per mile.

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) $m$ of a linear relationship is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $x$ be the distance in miles and $y$ be the total cost.

Step2: Select two points

We can take the points $(0,50)$ and $(20,60)$.

Step3: Calculate the rate of change

$m=\frac{60 - 50}{20 - 0}=\frac{10}{20}=0.5$

Answer:

increases; $\$0.50$