Question

Checker Cab Company charges an initial fee of $4.49 and then $1.57 per mile. Yellow Cab Company charges only $2.17 initially, but then $3.72 per mile. Which system of equations can be used to determine the number of miles it takes, x, for the two companies to charge the same amount, y?

A. x = 1.57y + 4.49
x = 3.72y + 2.17
B. y = 1.57x + 4.49
y = 3.72x + 2.17
C. y = 1.57x + 4.49
y = 2.17x + 3.72
D. 1.57x + 4.49y = 6.06
3.72x + 2.17y = 5.89

Answer 1

The system of equations that can be used to determine the number of miles it takes for Checker Cab Company and Yellow Cab Company to charge the same amount is x = 1.57y + 4.49 and x = 3.72y + 2.17.

Step-by-step explanation:

The system of equations that can be used to determine the number of miles it takes for Checker Cab Company and Yellow Cab Company to charge the same amount is:

x = 1.57y + 4.49
x = 3.72y + 2.17

The variables in this system represent the number of miles, x, and the cost, y, charged by each company. The first equation represents Checker Cab Company's pricing, while the second equation represents Yellow Cab Company's pricing.

The correct answer is A.