A car rental company's standard charge includes an initial fee plus and additional fee for each mile driven. ### Combining Functions to Write a New Function That Models a Real-World ScenarioA car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge $S$ (in dollars) is given by the function $S = 0.60M + 17.75$, where $M$ is the number of miles driven.The company also offers an option to insure the car against damage. The insurance charge $I$ (in dollars) is given by the function $I = 0.25M + 3.70$.Let $C$ be the total charge (in dollars) for a rental that includes insurance. Write an equation relating $C$ to $M$. Simplify your answer as much as possible.\[C = \][Input Box][Button Options: X (Cancel), Reset, ? (Help)]---#### Explanation [Explanation Button]#### Check Your Answer[Check Button]---© 2020 McGraw-Hill Education. All Rights Reserved. [Terms of Use] [Privacy]

According to the given information, The standard charges and insurance charges of the rental company…

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the unction S= 0.60M+17.75, where M is the number of miles driven.

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the unction S= 0.60M+17.75, where M is the number of miles driven.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

A car rental company's standard charge includes an initial fee plus and additional fee for each mile driven.

### Combining Functions to Write a New Function That Models a Real-World Scenario

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge $S$ (in dollars) is given by the function $S = 0.60M + 17.75$, where $M$ is the number of miles driven.

The company also offers an option to insure the car against damage. The insurance charge $I$ (in dollars) is given by the function $I = 0.25M + 3.70$.

Let $C$ be the total charge (in dollars) for a rental that includes insurance. Write an equation relating $C$ to $M$. Simplify your answer as much as possible.

\[C = \]

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