Answer:
See Explanation
Step-by-step explanation:
Given
See attachment for complete question
First, we determine the cost function for all the three rides.
<u>Ride A</u>
From the graph, we have the following points
Calculate slope
--- This represents the rate per ride
The equation is the calculated as:
So, we have:
So, the cost function is:
Calculate the cost of admission i.e. x=0
So, we have:
--- Admission Charge
--- Cost function
--- Rate per ride
<u>Ride B</u>
From the table, we have the following points
Calculate slope
--- This represents the rate per ride
The equation is the calculated as:
So, we have:
So, the cost function is:
Calculate the cost of admission i.e. x=0
So, we have:
--- Admission Charge
--- Cost function
--- Rate per ride
<u>Ride C</u>
No additional fee;
So, the cost function is;
In summary, we have:
Ride A
--- Cost function
--- Rate per ride
Ride B
--- Cost function
--- Rate per ride
Ride C
--- Cost function
<u>By comparison</u>
Ride A has the highest rate per ride of (#2), followed by ride B with a rate of #0.75 per ride.
Ride C has no charges per ride
The impact on the total cost is that:
Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take
Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take
<em>For A and B, the overall cost depends on the number of rides taken.</em>
Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30