Please show your work... How do you do this?
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?
What are your options?
To find the function that describes the cost of the taxi ride in dollars, we need to analyze the given information.
Let's break it down step by step:
1. The taxi charges $0.90 for the first 1/5 mile. This means that for the first 1/5 mile, the cost is a fixed price of $0.90.
2. After the first 1/5 mile, the taxi charges an additional $0.60 for each additional 1/5 mile. This creates a linear relationship. For every 1/5 mile beyond the first 1/5 mile, the cost increases by $0.60.
Now, to form the function that describes the cost of the taxi ride in dollars:
Let's assume that the customer rides for m miles, where m > 1/5.
For the first 1/5 mile, the cost is $0.90. So, the cost associated with this part is $0.90.
For every additional 1/5 mile beyond the first 1/5 mile, the cost increases by $0.60. Since there are (m - 1/5) additional 1/5 miles, the cost associated with this part is $0.60 multiplied by (m - 1/5).
Putting it all together, the function that describes the cost, c(m), of this taxi ride in dollars is:
c(m) = $0.90 + $0.60 * (m - 1/5)
So, c(m) = $0.90 + $0.60m - $0.60/5
Simplifying further:
c(m) = $0.90 + $0.60m - $0.12
Finally, we have the function that describes the cost of the taxi ride in dollars:
c(m) = $0.78 + $0.60m