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Cost of Prom 3000 2000 - 1000 - 50 100 150 Number of people 3. The graduation committee is making arrangements for the prom. This graph shows the total cost of the prom based on the number of people who attend it. a) What is the vertical intercept? What does it represent? b) Calculate the rate of change in the cost with respect to the number of people. What does this rate of change represent? c) The committee wants to sell tickets at $20 per person. On a copy of the graph, sketch a line that shows the total sales. d) How many tickets would have to be sold to break even? e) Suppose the ticket price is $25 per person. How would this change the sales graph? How would this change the break-even point? Justify your answers Cost ($)

Cost of Prom 3000 2000 - 1000 - 50 100 150 Number of people 3. The graduation committee is making arrangements for the prom. This graph shows the total cost of the prom based on the number of people who attend it. a) What is the vertical intercept? What does it represent? b) Calculate the rate of change in the cost with respect to the number of people. What does this rate of change represent? c) The committee wants to sell tickets at $20 per person. On a copy of the graph, sketch a line that shows the total sales. d) How many tickets would have to be sold to break even? e) Suppose the ticket price is $25 per person. How would this change the sales graph? How would this change the break-even point? Justify your answers Cost ($)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Cost of Prom 3000 2000 1000- 50 100 150 Number of people 3. The graduation committee is making arrangements for the prom. This graph shows the total cost of the prom based on the number of people who attend it. a) What is the vertical intercept? What does it represent? b) Calculate the rate of change in the cost with respect to the number of people. What does this rate of change represent? c) The committee wants to sell tickets at $20 per person. On a copy of the graph, sketch a line that shows the total sales. d) How many tickets would have to be sold to break even? e) Suppose the ticket price is $25 per person. How would this change the sales graph? How would this change the break-even point? Justify your answers Cost ($)
Transcribed Image Text:Cost of Prom 3000 2000 1000- 50 100 150 Number of people 3. The graduation committee is making arrangements for the prom. This graph shows the total cost of the prom based on the number of people who attend it. a) What is the vertical intercept? What does it represent? b) Calculate the rate of change in the cost with respect to the number of people. What does this rate of change represent? c) The committee wants to sell tickets at $20 per person. On a copy of the graph, sketch a line that shows the total sales. d) How many tickets would have to be sold to break even? e) Suppose the ticket price is $25 per person. How would this change the sales graph? How would this change the break-even point? Justify your answers Cost ($)
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