At a little known vacation spot taxi fares are a bargain. A 36 mile taxi ride takes 42 minutes and cost $25.20. You want to find the cost of a 47 mile taxi ride. What unit price do you need?

Answer:
It cost $32.90 for a 47 mile taxi ride.
Step-by-step explanation:
We are given the following information in the question:
Length of taxi ride = 36 miles
Time taken by taxi ride = 42 minutes
Cost of taxi ride = $25.20
We have to find cost of a 47 mile ride.
In order to do so, we have to find the unit cost of distance covered by ride which is the unit cost per mile of the ride that is the cost for 1 mile of taxi ride.
Formula:
[tex]\text{Unit Cost} = \text{Cost for 1 mile of axi ride} = \displaystyle\frac{\text{Cost of taxi ride}}{\text{Distance covered by taxi ride}}[/tex]
[tex]\text{Unit Cost} = \displaystyle\frac{25.20}{36} = \$0.7\text{ per mile}[/tex]
Cost of a 47 mile ride =
[tex]\text{Unit cost}\times Distance \\0.7\times 47 = 32.9[/tex]
Hence, it cost $32.90 for a 47 mile taxi ride.