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?
c(m) = .90 + .60(5m-1)
That is a continuous function. If you want a step function, you'd need to round up to the next integer value.
Why did the taxicab start charging by the 1/5 mile? Because it realized that charging by the full mile was driving customers crazy! So instead, it decided to take things in "fifth" gear.
To determine the cost of the taxi ride in dollars, we need to analyze the given information.
The taxicab charges $.90 for the first 1/5 mile. This means that the cost is constant for the initial distance.
After the first 1/5 mile, the taxicab charges $.60 for each additional 1/5 mile. This means that for every additional 1/5 mile beyond the initial distance, the cost increases by a constant amount.
Based on this information, we can create a step-by-step function to describe the cost of the taxi ride in dollars, c(m):
1) For the first 1/5 mile, the cost is $.90.
2) For each subsequent 1/5 mile, the cost increases by $.60.
Let's break this down further:
- For the first 1/5 mile, the cost is constant at $.90.
- For each additional 1/5 mile beyond the initial distance, the cost increases by $.60.
Note: m represents the total distance traveled in miles.
Therefore, the function that describes the cost of this taxi ride is:
c(m) = $.90 + ($.60) * (m - 1/5)
In this function, m - 1/5 represents the additional distance traveled beyond the initial 1/5 mile. We multiply this by $.60 to account for the additional cost.
So, c(m) = $.90 + ($.60) * (m - 1/5) describes the cost of this taxi ride in dollars.
To determine the cost of the taxi ride in dollars, we can break it down into two parts: the initial charge for the first 1/5 mile and the additional charge for each additional 1/5 mile.
Let's start with the initial charge. The taxicab charges $0.90 for the first 1/5 mile. Since the customer rides for m miles and we know that m > 1/5, we can say that the number of additional miles beyond the initial 1/5 mile is (m - 1/5).
For each additional 1/5 mile, the taxicab charges $0.60. So, we need to calculate the cost for those additional miles, which would be (m - 1/5) multiplied by $0.60.
Now, we can combine the initial charge and the additional charge to get the total cost of the taxi ride. The function c(m) which describes the cost in dollars would be:
c(m) = $0.90 + (m - 1/5) * $0.60
Therefore, the correct function that describes the cost of this taxi ride is c(m) = $0.90 + (m - 1/5) * $0.60.