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 additonal mile. how many miles was it from the hotel to the airport?
1 10
2 11
3 12
4 13
$44.25 - 2.25 = $42.00
42 / 3.5 = 12
12 + 1 = ?
12
To find the number of miles from the hotel to the airport, we need to set up an equation using the given information.
Let's assume the number of additional miles is "x." So, the total number of miles traveled would be the first mile plus the additional miles, which is 1 + x.
According to the problem, the total cost of the taxi fare is $44.25. The cost of the first mile is $2.25, and the cost of each additional mile is $3.50. Therefore, the total cost can be expressed as:
Total cost = Cost of the first mile + Cost of additional miles
$44.25 = $2.25 + ($3.50 * x)
Now, let's solve this equation to find the value of "x."
$44.25 - $2.25 = $3.50 * x
$42 = $3.50 * x
Dividing both sides of the equation by $3.50 will give us:
x = $42 / $3.50
x ≈ 12
Therefore, the number of additional miles, "x," is approximately 12. Adding the initial mile, the total distance from the hotel to the airport is 1 + 12 = 13 miles.