The SilverScintillation3000
Triple the Pleasure, Triple the Speed
THE RIGHT CHOICE
AVAILABLE OFFERS
- BUSINESS CLASS: Scrumptious Food, Plenty of Legroom, In-Flight Entertainment
- FIRST CLASS: Business Class + VIP Treatment, Airline Lounge
The plan you choose is completely up to you.
BUSINESS CLASS
n = Number of Rides
Initial Cost: $10000
Variable Cost: $1400
Slope y-intercept Form (y = mx + b): C = 10000 + 1400n
FIRST CLASS
n = Number of Rides
Initial Cost: $35000
Variable Cost: $0
Slope y-intercept Form (y = mx + b): C = 35000 + 0n --> C=35000
TABLE OF VALUES:
GRAPH:
POINT OF INTERSECTION:
To manually find this, you must use the above provided graph and:
1)
Make both your equations equal to each other:
- y = 4000x + 10000------------------------------------- y = 35000
2) Solve for x:
4000x + 10000 = 35000
4000x = 25000
x = 6.25
3) Solve for y, now that you have x:
y = 4000x + 10000
y = 4000(6.25) + 10000
y = 25000 + 10000
y = 35000
Therfore, the (x,y) coordinates for the Point of Intersection are: (6.25,35000)
WHAT'S THE POINT OF ALL THIS? I STILL DON'T KNOW WHAT TO CHOOSE?
According to the number of planes you want to take, you would need to consider which plan would be cheaper for you. In theory, the Point of Intersection describes it all. Now you can take a final conclusion.
If you want to take six flights or less, you would want to take BUSINESS CLASS because according to the graph's x axis, the BUSINESS CLASS line is less than the FIRST CLASS line. However, if you were to take more than six flights, then you would be better off taking the FIRST CLASS plan because it is lower than the BUSINESS CLASS line when both lines are above the Point of Intersection. After taking into careful consideration using the pros and cons of both plans as well as the intense mathematical explanation for why you should choose which plan, you can now take your decision...
CONCLUSiON
The SilverScintillation3000 - Triple the Pleasure, Triple the Speed