11) While on vacation, you take a taxi from the airport to your hotel for $21.85. The taxi costs $2.95 plus $1.35 per mile. How far is it from the airport to the hotel?​

Respuesta :

Answer:

The distance from the airport to the hotel was 14 miles

Step-by-step explanation:

Let the distance from the airport to your hotel is [tex]x\;\rm{miles}[/tex]

Now,

According to the question, the cost of the taxi for the [tex]x\;\rm{miles}[/tex] distance is, [tex]\rm{Cost}=\$(1.35x+2.95)[/tex]

You booked the cab and pay $21.85 for traveling from the airport to your hotel.

So,

Cost = $21.85

Therefore,

Substitute the cost value in the above equation.

[tex]\$21.85=\$(1.35x+2.95)\\1.35x=18.9\\x=14[/tex]

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