The total cost of renting a truck with an initial charge of $45 and additional fee of $2.50 per mile driven is represented by the linear equation C(m) = 45 + 2.50m. A table of values illustrates the total cost for different numbers of miles driven, showing the proportional increase in cost with the mileage.
Francisco is looking to rent a truck and the cost consists of an initial charge plus a mileage fee. Specifically, there is an initial charge of $45 and a fee of $2.50 per mile driven. To represent the total cost of renting the truck, we can develop a linear equation as well as create a table of values.
Table of Values for Truck Rental
If Francisco drives 0 miles, the cost would be $45 (just the initial charge).
For 10 miles, the cost would be $45 + (10 miles × $2.50/mile) = $70.
For 20 miles, the cost would be $45 + (20 miles × $2.50/mile) = $95.
The pattern we observe is that for every additional mile driven, the cost increases by $2.50. From this, we can derive the general equation for the total cost, C, in terms of the number of miles driven, m:
C(m) = 45 + 2.50m
In this equation, C(m) represents the total cost of renting the truck, the number 45 is the initial charge, and 2.50 is the cost per mile. The variable m represents the number of miles driven.
Number of miles driven Total cost to Reat Truck
0 $45
1 $70
2 $95