Question

Andy's Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business where he charges $0.80 per mile but does not charge a fee. Write a system that represents the two services.

a) A(x) = 6 + 0.50x and B(x) = 0.80x
b) A(x) = 6x + 0.50 and B(x) = 0.80x
c) A(x) = 6x + 0.50 and B(x) = 0.80
d) A(x) = 6 + 0.50x and B(x) = 0.80

Answer 1

The correct system representing Andy's and Randy's cab services is option d, which includes two linear equations: A(x) for Andy's service as A(x) = 6 + 0.50x, and B(x) for Randy's service as B(x) = 0.80x.

Step-by-step explanation:

The system that represents Andy's Cab Service and Randy's rival business can be written as two separate linear equations. Andy's service, which charges a $6 fee plus $0.50 per mile, can be represented as A(x) = 6 + 0.50x, where x is the number of miles driven and A(x) is the total cost. Randy's business, which charges no initial fee but $0.80 per mile, can be represented as B(x) = 0.80x. Therefore, the correct answer is option (d) A(x) = 6 + 0.50x and B(x) = 0.80x.