A band is performing at a concert venue. The performance fee is $2,000, and each ticket costs $50. The linear function r(x) = 50x + 2,000 models the total revenue, r(x), in dollars, for a given number of tickets sold, x. Part A: If the band wants to earn $10,000 in revenue, how many tickets need to be sold? Show all necessary steps. Part B: What are the domain and range of the given function, r(x)? Part C: If the concert venue is limited to 500 people, how does that change the domain and range of the function?
A band is performing at a concert venue. The performance fee is $2,000, and each ticket costs $50. The linear function r(x) = 50x + 2,000 models the total revenue, r(x), in dollars, for a given number of tickets sold, x. Part A: If the band wants to earn $10,000 in revenue, how many tickets need to be sold? Show all necessary steps. Part B: What are the domain and range of the given function, r(x)? Part C: If the concert venue is limited to 500 people, how does that change the domain and range of the function?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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A band is performing at a concert venue. The performance fee is $2,000, and each ticket costs $50. The linear function r(x) = 50x + 2,000 models the total revenue, r(x), in dollars, for a given number of tickets sold, x.
Part A: If the band wants to earn $10,000 in revenue, how many tickets need to be sold? Show all necessary steps.
Part B: What are the domain and range of the given function, r(x)?
Part C: If the concert venue is limited to 500 people, how does that change the domain and range of the function?
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