Question

You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.

Let x = the number of miles traveled and y = the total cost for the trip.

Will the cost of the two companies ever be the same? If so, at how many miles and what is that cost? If not, explain your reasoning. Show all work that leads to your answer.

Answer 1

6 Miles and the cost is $4.50

Explanation:

3+0.25=0.75x

3+0.50x

6=x

0.75x+?

0.75 x 6= 4.50