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A ticket to a circus is $4.50. Usually, around 1560 people attend per day. Surveys predict that for every $0.10 increase in the ticket price, 10 fewer people will attend. Use x to represent the number of increases in the ticket price. a. Write an expression to model the ticket price per person. b. Write an expression to model the number of people that would attend the circus. c. Determine the expression that would model the revenue, R, for the circus.

A ticket to a circus is $4.50. Usually, around 1560 people attend per day. Surveys predict that for every $0.10 increase in the ticket price, 10 fewer people will attend. Use x to represent the number of increases in the ticket price. a. Write an expression to model the ticket price per person. b. Write an expression to model the number of people that would attend the circus. c. Determine the expression that would model the revenue, R, for the circus.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A ticket to a circus is $4.50. Usually, around 1560 people attend per day. Surveys predict that for every $0.10 increase in the ticket price, 10 fewer people will attend. Use x to represent the number of increases in the ticket price. a. Write an expression to model the ticket price per person. b. Write an expression to model the number of people that would attend the circus. c. Determine the expression that would model the revenue, R, for the circus. d. Use completing the square to determine the vertex of the revenue function. e. Use the information in the vertex to determine the maximum revenue, number of people attending the circus, and the ticket price per person.
Transcribed Image Text:A ticket to a circus is $4.50. Usually, around 1560 people attend per day. Surveys predict that for every $0.10 increase in the ticket price, 10 fewer people will attend. Use x to represent the number of increases in the ticket price. a. Write an expression to model the ticket price per person. b. Write an expression to model the number of people that would attend the circus. c. Determine the expression that would model the revenue, R, for the circus. d. Use completing the square to determine the vertex of the revenue function. e. Use the information in the vertex to determine the maximum revenue, number of people attending the circus, and the ticket price per person.
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