Please show your work... How do you do this?
I do not get how the answer is c(m)=0.9+0.6(5m-1) especially where 5m-1 comes from...please explain.
A taxicab charges $.90 for the first 1/5 mile and $.60 for each additional 1/5 mile. If a customer rides in this cab for m miles (m>1/5) , which of the following functions descibes the cost,c(m), of this tax ride in dollars?
There are five parts in the mile, and if the customer is riding more than 1/5 of a mile, then the first 1/5 of the mile is separate. All five parts cannot be included in the calculation since the .9 is separate.
To find the cost of the tax ride, we need to consider two different scenarios:
1. The first 1/5 mile: The taxicab charges $0.90 for the first 1/5 mile. This is a fixed cost.
2. Each additional 1/5 mile: The taxicab charges $0.60 for each additional 1/5 mile. The number of additional miles beyond the first 1/5 mile can be represented by (m - 1/5), as (m - 1/5) is the difference between the total distance (m miles) and the first 1/5 mile.
Now, we can combine these two scenarios to get the cost function c(m):
c(m) = 0.90 + 0.60(m - 1/5)
Let's simplify this expression step by step:
First, distribute 0.60 to (m - 1/5):
c(m) = 0.90 + 0.60m - 0.60(1/5)
Next, simplify 0.60(1/5):
0.60(1/5) = 0.12
Substitute the value 0.12 back into the equation:
c(m) = 0.90 + 0.60m - 0.12
Combine like terms:
c(m) = 0.78 + 0.60m
So the cost function of this taxi ride is c(m) = 0.78 + 0.60m.