A. How much does it cost to rent a car for 3 days if the car...

a. How much does it cost to rent a car for 3 days if the car is driven $280 \mathrm{mi} ?$
b. Find a formula that models the cost $C$ of renting this car for $n$ days if it is driven $m$ miles.
c. If the cost for a 3 -day rental was $\$ 140$, how many miles was the car driven?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Functions

Linear functions involve relationships that can be expressed in the form y = mx + b, where m represents the rate of change and b is the y-intercept. In cost modeling, this translates to a constant cost per unit (like per day or per mile) added to a base fee.

Fixed and Variable Costs

Fixed costs are charges that remain constant regardless of usage, such as a daily rental fee, while variable costs change with consumption, like a cost per mile driven. Together, these costs combine linearly to form the total charge.

Formulating Cost Equations

This concept involves setting up a linear equation that models a real-world situation by combining fixed costs and variable costs. In the context of renting a car, the total cost is represented as a function of the number of days rented and the number of miles driven.

Solving Linear Equations

Once a cost model is established, solving linear equations allows us to determine unknown variables. This might involve determining how many miles were driven given a total cost, or computing the total cost for specified days and miles, by isolating and solving for the desired variable.

Transcript

Please give Ace some feedback