Solution:
Given the table below:
To determine the function that models the total cost c, to rent a truck for any number of miles m, we use the line equation passing through two points.
The equation of a line that passes through two points is expressed as
In this case,
From the table of values,
Substituting these values into equation 2, we have
Multiply through by 100,
Open parentheses,
Add 20000 to both sides of the equation,
Divide both sides by the coefficient of c.
The coefficient of c is 100.
Thus,
Hence, the function that models the total cost, c, to rent a large truck for any number of miles m is expressed as