Question

PLEASE HELP ME THIS IS MY FINAL !!!!

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 xis 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?

Answer 1

it would take 20 miles and cost 10 dollars.

Step-by-step explanation: Like up the equations so that 50x=40x+200. When you solve for x (number of miles) you find that x=20. Use 20 in either equation (0.5x or 0.4x+2) to get 10 (total cost).