Humphrey is at the gas station, and is trying to decide which is the better option: If he pays with a debit card,he will pay $3.97 per gallon, plus a $0.45 transaction fee. If he pays with a credit card, he will pay $4.00 pergallon.   a)Write a system of linear equations in two variables to model the cost of gasoline per gallon foreach method of payment.   b)Humphrey’s car holds 12 gallons of gas. If he is filing from empty, how should he pay?   c)How many gallons would Humphrey need to purchase for the cost of each payment method tobe equal? Please show enough work so I can understand

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Humphrey is at the gas station, and is trying to decide which is the better option: If he pays with a debit card,he will pay $3.97 per gallon, plus a $0.45 transaction fee. If he pays with a credit card, he will pay $4.00 pergallon.

 

a)Write a system of linear equations in two variables to model the cost of gasoline per gallon foreach method of payment.

 

b)Humphrey’s car holds 12 gallons of gas. If he is filing from empty, how should he pay?

 

c)How many gallons would Humphrey need to purchase for the cost of each payment method tobe equal? Please show enough work so I can understand your thought process. Explain with words if you need to.

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