Question

The LA Taxi Co. Fare in Los Angeles is $3.20 for the first \frac{1}{2} ​2 ​ ​1 ​​ mile. Additional mileage is charged at the rate of $0.25 for each 0.1 mile. You plan to give the driver a $2.00 tip. It is 6.5 miles to your grandmother's house. How much will you total fare be, including tip?

Answer 1

The total fare of the trip is $20.2

Explanation:

We are given the following in the question:

LA Taxi Co. Fare for first 0.5 miles = $3.20

Additional mileage rate = $0.25 for each 0.1 mile.

Tip to the driver = $2.00

Total distance to be covered = 6.5 miles

Fare for trip can be given by the equation:

`f(x) = 3.20 + 0.25((x-0.5)/(0.1))`

where x is the total distance to be covered.

Putting x = 6.5 in the question, we get,

`f(6.5) = 3.20 + 0.25((6.5-0.5)/(0.1)) = 18.2`

Thus, the trip will cost $18.2.

Total fare =

= Cost of trip + Tip to the driver

`=18.2 + 2.00\\=20.2`

Thus, the total fare of the trip is $20.2