Question

A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?

Answer 1

2 trips

Explanation:

first, we need to model an expression, the solve, say

let the total amount charged by taxi be y

and let the number of kilometers be x

y=2x+9

given that uber charges $5

then the number of taxi trips that will equal urber charge is

y=2x+9=5

5=2x+9

solving for x we have

2x+9-5=0

2x+4=0

2x=-4

x=-2

x=2 (x cannot be negative)