Cost Analysis and Rational Functions

The video tutorial explains the application of rational functions through a real-world example of organizing an alumni event. It covers the cost calculations for renting a space and catering, deriving a rational function to represent the cost per paying attendee, and analyzing the function's domain and asymptotes. The tutorial concludes with a graph interpretation, illustrating how costs decrease as more people attend.

What is the primary focus of the video tutorial?

• History of rational functions

• Application of rational functions in real-world scenarios

• Mathematical proofs of rational functions

• Theoretical aspects of rational functions

What is the fixed cost for the event space rental?

• $800

• $700

• $600

• $500

How much does each dinner cost for the event?

• $30

• $25

• $15

• $20

Why are the five oldest alumni not charged for dinner?

• They are part of the organizing committee

• Their cost is absorbed by the committee

• They are sponsors of the event

• They are not attending the event

What is the goal of the committee in terms of finances?

• To make a profit

• To incur a loss

• To break even

• To double the investment

How many people are paying if 50 people attend the event?

• 40

• 45

• 55

• 50

What is the total cost to the committee if 30 people attend?

• $1000

• $1600

• $1400

• $1200

How does the cost per paying attendee change as more people attend?

• It fluctuates randomly

• It decreases

• It increases

• It remains constant

What is the cost per paying attendee if 95 people are paying?

• $25.37

• $27.37

• $29.37

• $31.37

What is the formula for the total cost to the committee?

• 600(x-5) + 20

• 600 + 20(x-5)

• 600 + 20x

• 600x + 20