Question

In Boston taxicabs charge an initial fare and an additional amount for every mile traveled. Tahira is having trouble figuring out how the system works. She paid $7.00 for a two-mike ride one day and she paid $24.50 for a nine-mule ride the next day. Use the data given to find the amount the taxis charge per mile

Answer 1

Answer:

The taxi charges $2.5 for every mile.

Step-by-step explanation:

We are given the following in the question:

Let x be the initial taxicab fare and y be the additional amount for every mile traveled.

Cost for a two mile ride = $7.00

Thus, we can write the equation:

$x + 2y = 7$

Cost of a nine mile ride = $24.50

Thus, we can write the equation,

$x + 9y = 24.50$

Solving the two equation by elimination method, we have,

$x + 9y - (x + 2y) = 24.50 - 7\\7y = 17.5\\y = 2.5\\\Rightarrow x + 2(2.5) = 7\\x = 2$

Thus, $2 is the initial fare and $2.5 is the cost for every mile traveled.