The U-Rent-It home supply store rents pressure cleaners for ...

The U-Rent-It home supply store rents pressure cleaners for $\$ 4.95,$ plus $\$ 4$ per hour. A painter rents a pressure cleaner and the bill comes to $\$ 18.95$ For how many hours did he rent the pressure cleaner?

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Key Concepts

Linear Equations

Linear equations describe relationships in which changes in one variable produce proportional changes in another, typically expressed in the form of y = mx + b. This concept is fundamental for modeling situations with both constant and variable components, enabling the use of algebraic techniques to solve real-world problems.

Fixed Cost

A fixed cost is an amount that remains constant regardless of the level of activity or usage. In many problems, this constant fee is added to any usage-based charges, and understanding it is crucial for creating the complete cost model.

Variable Cost

A variable cost is an expense that changes in proportion to usage or the number of units consumed. It represents the component of the total cost that depends directly on the quantity being measured, such as time or number of items, and forms the slope part of a linear equation.

Algebraic Manipulation

Algebraic manipulation involves applying operations such as addition, subtraction, multiplication, and division to both sides of an equation in order to isolate and solve for an unknown variable. This process is essential for solving equations that model real-world scenarios, allowing the determination of quantities like time or number of items rented.

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