A taxi ride cost $29.40. The driver charged $3 plus $2 per mile traveled. How far did the taxi travel on this trip?

1 Answer
Nov 16, 2016

On this trip the taxi traveled 13.2 miles.

Explanation:

The total cost of a taxi ride can be calculated as:

#T = b + (c*d)# where #T# is the total cost, #b# is the base fee, #c# is the cost per mile and #d# is the distance traveled in miles.

We can substitute what we were given (total cost of $29.40, base fee of $3 and cost per mile of $2) and solve for #d# the distance traveled while keeping the equation balanced:

#29.40 = 3 + (2*d)#

#29.40 - 3 = 3 + (2*d) - 3#

#26.40 = 2*d#

#26.40/2 = (2*d)/2#

#13.2 = 1*d#

#d = 13.2#