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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.

Respuesta :

MrRoyal

Missing Part:

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

Answer:

[tex]2.60 + 2.50x > 12[/tex]

[tex]x >3.76[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2.60[/tex]

[tex]Rate = 2.50[/tex] 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:

[tex]y = Initial + Rate * x[/tex]

[tex]y = 2.60 + 2.50 * x[/tex]

[tex]y = 2.60 + 2.50 x[/tex]

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

This is represented as:

[tex]2.60 + 2.50x > y[/tex]

Substitute 12 for y

[tex]2.60 + 2.50x > 12[/tex]

Make 2.50x the subject

[tex]2.50x > 12 - 2.60[/tex]

[tex]2.50x > 9.40[/tex]

Make x the subject

[tex]x >9.40/2.50[/tex]

[tex]x >3.76[/tex]

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