Two taxi services charge different rates. Taxi A charges $0.40 per mile traveled plus an initial charge of $2.00. Taxi B charges $0.50 per mile
traveled. The situation is modeled by this system, where x is the number of
miles traveled and y is the charge for that distance, in cents:
y = 40x + 200
y = 50x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?
A. The charges will never be equal no matter how far each travels.
B. Each must travel 10 miles, and the charge is $6.00.
C. Each must travel 20 miles, and the charge is $10.00.
D. Each must travel 25 miles, and the charge is $12.00.