Question

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

Answer 1

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`