Juan paid $42 in taxi fare from the hotel to the airport. The cab charged a $7 initial fee plus $2.50 for each additional mile. How many miles was it from the hotel to the airport?

It was 14 miles from the hotel to the airport.

Step-by-step explanation:

From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:

t=7+2.50x, where:

t is the taxi fair

x is the number of miles

Now, you can replace t with 42  and solve for x to find the miles:

42=7+2.50x

42-7=2.50x

35=2.50x

x=35/2.50

x=14

According to this, the answer is that it was 14 miles from the hotel to the airport.

linear pair postulates