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A university music department plans to stage the opera Carmen. The fixed cost for the set, costumes, and lighting is $5000, and they plan to charge $15 a ticke will make from the performance is given by the equation P= 15x 5000. (a) Show that P is a function of x. Each input x corresponds to exactly one output P. O Each input corresponds to multiple outputs. O Each input P corresponds to exactly one output-x. O The relation does not pass the Vertical Line Test. (b) Find the net change in the profit P when the number of tickets sold increases from 125 to 325. $ (c) Express x as a function of P. X=

A university music department plans to stage the opera Carmen. The fixed cost for the set, costumes, and lighting is $5000, and they plan to charge $15 a ticke will make from the performance is given by the equation P= 15x 5000. (a) Show that P is a function of x. Each input x corresponds to exactly one output P. O Each input corresponds to multiple outputs. O Each input P corresponds to exactly one output-x. O The relation does not pass the Vertical Line Test. (b) Find the net change in the profit P when the number of tickets sold increases from 125 to 325. $ (c) Express x as a function of P. X=

Intermediate Algebra
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 university music department plans to stage the opera Carmen. The fixed cost for the set, costumes, and lighting is $5000, and they plan to charge $15 a ticke will make from the performance is given by the equation P= 15x 5000. (a) Show that P is a function of x. Each input x corresponds to exactly one output P. O Each input corresponds to multiple outputs. O Each input P corresponds to exactly one output.x. O The relation does not pass the Vertical Line Test. (b) Find the net change in the profit P when the number of tickets sold increases from 125 to 325. $ (c) Express x as a function of P. X= (d) Find the net change in the number of tickets sold when the profit changes from $0 to $7000. (Round your answer to the next whole number.) tickets
Transcribed Image Text:A university music department plans to stage the opera Carmen. The fixed cost for the set, costumes, and lighting is $5000, and they plan to charge $15 a ticke will make from the performance is given by the equation P= 15x 5000. (a) Show that P is a function of x. Each input x corresponds to exactly one output P. O Each input corresponds to multiple outputs. O Each input P corresponds to exactly one output.x. O The relation does not pass the Vertical Line Test. (b) Find the net change in the profit P when the number of tickets sold increases from 125 to 325. $ (c) Express x as a function of P. X= (d) Find the net change in the number of tickets sold when the profit changes from $0 to $7000. (Round your answer to the next whole number.) tickets
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