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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.3: Order Of Operations
Problem 30E
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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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