mario paid $44.25 in taxi fare from the hotel to the airport. the cab charged $2.25 for the first mile plus $3.50 for each additional mile. how many miles was it from the hotel to the airport?

$44.25 - 2.25 = $42.00

$42.00 / $3.50 = 12

12 + 1 = 13

To find out how many miles it was from the hotel to the airport, we can solve the equation based on the given information.

Let's assume the distance from the hotel to the airport is represented by 'x' miles.

According to the given information, the cab charged $2.25 for the first mile, and then $3.50 for each additional mile. So, for x miles, the cost of the ride can be calculated using the equation:

Cost = $2.25 (for the first mile) + $3.50 (for each additional mile) * (x - 1)

We are also given that the total fare paid by Mario was $44.25. So, we can set up the equation:

$44.25 = $2.25 + $3.50 * (x - 1)

Now, let's solve the equation to find the value of 'x'.

$44.25 = $2.25 + $3.50x - $3.50
$44.25 = $2.25 - $3.50 + $3.50x

Simplifying the equation:
$44.25 = $3.50x - $1.25

Adding $1.25 to both sides:
$45.50 = $3.50x

Dividing both sides by $3.50:
x = $45.50 / $3.50

Calculating the value of 'x':
x ≈ 13

Therefore, it was approximately 13 miles from the hotel to the airport.

To find out how many miles it was from the hotel to the airport, we need to subtract the initial cost from the total cost and then divide the remaining cost by the cost per additional mile. Let's do the calculations step-by-step:

1. Subtract the initial cost from the total cost:
$44.25 - $2.25 = $42.00

2. Divide the remaining cost by the cost per additional mile:
$42.00 ÷ $3.50 = 12 miles

Therefore, it was 12 miles from the hotel to the airport.