A small theater, with 250 seats, puts on plays by local playwrights. The profit the theater makes depends on the number of seats sold according to the function shown, where P is profit (in dollars), and n is the number of seats sold. If the theater is unable to sell 20 or more seats, they will not open for that particular night. P (n) = 6n - 120 What are the domain and range of this function, in the context of the situation? O 0sn< 120; 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
icon
Related questions
Question
A small theater, with 250 seats, puts on plays by local playwrights. The profit the theater makes depends on the number of seats sold according to the function shown,
where P is profit (in dollars), and n is the number of seats sold. If the theater is unable to sell 20 or more seats, they will not open for that particular night.
P (n) = 6n - 120
What are the domain and range of this function, in the context of the situation?
O 0<n<120; 0 <P< 120
O 20 <n < 250; 0 <P< 1380
O 20 <n<120; 6 <P 200
O0<n<250; 120 < P< 1380
ce
esc
#
%2$
%
&.
%24
Transcribed Image Text:A small theater, with 250 seats, puts on plays by local playwrights. The profit the theater makes depends on the number of seats sold according to the function shown, where P is profit (in dollars), and n is the number of seats sold. If the theater is unable to sell 20 or more seats, they will not open for that particular night. P (n) = 6n - 120 What are the domain and range of this function, in the context of the situation? O 0<n<120; 0 <P< 120 O 20 <n < 250; 0 <P< 1380 O 20 <n<120; 6 <P 200 O0<n<250; 120 < P< 1380 ce esc # %2$ % &. %24
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax