Question

Ian rode in a taxi to get to an airport. The total cost of his taxi ride was more than $12. Write and solve an inequality to find the possible distances, in miles, Ian could have traveled in the taxi. Show or explain how you got your answer.

Answer 1

Missing Part:

The initial fee for a taxi ride is $2.60. Each mile traveled in a taxi costs an additional $2.50.

Answer:

`2.60 + 2.50x > 12`

`x >3.76`

Explanation:

Given

`Initial = 2.60`

`Rate = 2.50` per mile

Required

Miles traveled for more than $12

First, we represent the given parameters as an equation.

Represent miles with x and cost with y

So:

`y = Initial + Rate * x`

`y = 2.60 + 2.50 * x`

`y = 2.60 + 2.50 x`

In Ian case, the distance traveled is more than $12.

This is represented as:

`2.60 + 2.50x > y`

Substitute 12 for y

`2.60 + 2.50x > 12`

Make 2.50x the subject

`2.50x > 12 - 2.60`

`2.50x > 9.40`

Make x the subject

`x >9.40/2.50`

`x >3.76`