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Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $16,000 and gets 25 mi/gal, whereas car B costs $31,000 but gets 40 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for m mi. Taking into account price and fuel efficiency only, complete the following. (a) Write an expression CA for the cost of car A. CA - (b) Write an expression Cg for the cost of car B. CB = (c) How many total miles m would you have to drive so that the cost is the same for both cars? mi

Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $16,000 and gets 25 mi/gal, whereas car B costs $31,000 but gets 40 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for m mi. Taking into account price and fuel efficiency only, complete the following. (a) Write an expression CA for the cost of car A. CA - (b) Write an expression Cg for the cost of car B. CB = (c) How many total miles m would you have to drive so that the cost is the same for both cars? mi

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Transcription of Educational Text:** **Title: Considering Fuel Efficiency in Car Purchases** When deciding to buy a new car, should you take into account fuel efficiency, measured in miles per gallon (mpg)? Let's explore this decision with an example. Suppose car A costs $16,000 and achieves 25 mpg, while car B is priced at $31,000 but offers 40 mpg. Assume further that gas costs $4 per gallon and you plan to drive the car for a total of \( m \) miles. By considering only the price and fuel efficiency, complete the following tasks: (a) Write an expression \( C_A \) for the cost of car A: \[ C_A = \] (b) Write an expression \( C_B \) for the cost of car B: \[ C_B = \] (c) Calculate the total miles \( m \) at which the cost would be the same for both cars: \[ m = \_\_\_\_\_ \text{ mi} \] **Note:** This exercise emphasizes the importance of factoring in ongoing fuel costs when purchasing a vehicle, as it can significantly impact the total cost of ownership over time.
Transcribed Image Text:**Transcription of Educational Text:** **Title: Considering Fuel Efficiency in Car Purchases** When deciding to buy a new car, should you take into account fuel efficiency, measured in miles per gallon (mpg)? Let's explore this decision with an example. Suppose car A costs $16,000 and achieves 25 mpg, while car B is priced at $31,000 but offers 40 mpg. Assume further that gas costs $4 per gallon and you plan to drive the car for a total of \( m \) miles. By considering only the price and fuel efficiency, complete the following tasks: (a) Write an expression \( C_A \) for the cost of car A: \[ C_A = \] (b) Write an expression \( C_B \) for the cost of car B: \[ C_B = \] (c) Calculate the total miles \( m \) at which the cost would be the same for both cars: \[ m = \_\_\_\_\_ \text{ mi} \] **Note:** This exercise emphasizes the importance of factoring in ongoing fuel costs when purchasing a vehicle, as it can significantly impact the total cost of ownership over time.
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