Question

A cab company charges $0.80 per mile plus $2 for tolls. Melissa has at most $16 to spend on her cab fare. Write and solve an inequality for the maximum distance she can travel if she has at most $16 for a cab fare. Can she afford to take a cab from her home to an airport that is 25 miles away?

Answer 1

The maximum distance is 17.5 miles

No she can't make to the airport.

Explanation:

Given the cab charges $0.8 per mile and $2 for tolls.

let the miles travelled by melissa be x.

The total charge is $
`(0.8*x+2)`

Now given that she can spend a maximum of $16

so the inequality is

`0.8*x+2\leq 16`

`0.8*x\leq 14`

`x\leq (14)/(0.8)`

`x\leq 17.5`

Therefore the maximum distance she can travel is 17.5 miles

Since the distance to airport is 25 miles which is greater than 17.5 miles she cannot afford the cab.