Chapter 9.1, Problem 93ES

### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Chapter
Section

### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

# Writing Formulas When we know there is an explicit relationship between two quantities, often we can write a formula to express the relationship. For example, suppose that a toll of $3.75 is collected from each vehicle that crosses a particular bridge. Let A be the total amount of money collected, and let c be the number of vehicles that cross the bridge on a given day. Then, A =$ 3.75 c is a formula that expresses the total amount of money collected from vehicles on any given day.Write a formula for the situation. Include as part of your answer a list of variables that were used, and state what each variable represents.Write a formula to represent the total cost to rent a car from a company that rents cars for $29.95 per day plus 50 c for every mile driven over 100 m i . Assume the car will be driven more than 100 m i . To determine To write : a formula for the situation. Include as part of your answer a list of variables that were used, and state each variable represents. Write a formula to represent the total cost to rent a car from a company that cars for$29.95 per day plus 50c for every mile driven over 100 mi. Assume the car will be driven more than 100 mi.

Explanation

Given information : When we know there is an explicit relationship between two quantities, often we can write a formula to express the relationship.

For example, suppose that a toll of $3.75 is collected from each vehicle that crosses a particular bridge. Let A be the total amount of money collected, and let c be the number of vehicles that cross the bridge on a given day. Then, A=$3.75c is a formula that expresses the total amount of money collected from vehicle on any given day.

The given situation is “Write a formula to represent the total cost to rent a car from a company that cars for \$29.95 per day plus 50c for every mile driven over 100 mi. Assume the car will be driven more than 100 mi.”

Calculation: Let the total cost to rent a car from a company is denoted by P

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