SOLUTION: The cost of a taxi ride is calculated by adding a fixed amount to a charge for each 1/4 mile of the trip. If a one mile trip costs $4.00 and 1 and 1/2 mile trip cost $5.50 , what w

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Question 3609: The cost of a taxi ride is calculated by adding a fixed amount to a charge for each 1/4 mile of the trip. If a one mile trip costs $4.00 and 1 and 1/2 mile trip cost $5.50 , what will be the costs of a 3 mile trip?
Answer by Zenock(15) (Show Source):
You can put this solution on YOUR website!
From this problem we see that there is some initial charge (C) and some fixed amount (A) that gets added every 1/4 mile so the total cost(T) of a trip (M) miles long will be:

Now we are given the total for Two trips one where M=1 and one where M=1.5 or 3/2.
So:

and

With two equations and two unknowns it is trivial to solve for A...
A=0.75 and C=1.00
Therefore to get the cost of a 3 mile trip we do:
=$10.00