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)
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Chapter1: Combinatorial Analysis
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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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