Question

The daily rental charge for a moving truck is $\$ 40$ plus a mileage charge of $\$ 0.80$ per mile. Express the cost $C$ to rent a moving truck for one day as a function of the number $x$ of miles driven.

Name: Problem 105, Chapter 3: Algebra and Trigonometry
Uploaded: 2021-05-26T18:27:02-08:00
Duration: 1 min 49 s
Channel: Raushan Kumar
Description: The daily rental charge for a moving truck is 40 plus a mileage charge of 0.80 per mile. Express the cost C to rent a moving truck for one day as a function of the number x of miles driven.

   The daily rental charge for a moving truck is $\$ 40$ plus a mileage charge of $\$ 0.80$ per mile. Express the cost $C$ to rent a moving truck for one day as a function of the number $x$ of miles driven.

Algebra and Trigonometry

Michael Sullivan 11th Edition

Chapter 3, Problem 105

Instant Answer

Solved by Expert Raushan Kumar

05/26/2021

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The problem states that the daily rental charge for a moving truck is $40 and there is an additional charge of $0.80 per mile driven. Show more…

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The daily rental charge for a moving truck is $\$ 40$ plus a mileage charge of $\$ 0.80$ per mile. Express the cost $C$ to rent a moving truck for one day as a function of the number $x$ of miles driven.

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Key Concepts

Cost Functions

A cost function is a mathematical expression that combines both fixed and variable costs to give the total cost associated with a certain level of activity. It is a useful tool for budgeting and planning, as it provides a clear formula to calculate expenses based on usage.

Linear Functions

A linear function represents a relationship between two variables where the rate of change is constant, typically expressed in the form y = mx + b. In cost problems, such as determining rental expenses, this form helps to straightforwardly model how the total cost changes with each additional unit, such as a mile driven.

Fixed and Variable Costs

Cost models often include both fixed costs, which remain constant regardless of usage, and variable costs, which vary with the level of activity. In rental scenarios, the fixed cost is the base daily fee, while the variable cost depends on the number of miles driven.

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