A local charity is sponsoring an outdoor rock concert to raise money for children's cancer research. To accommodate as many patrons as possible, bleachers are being imported so that all the fans will be seated during the performance. The seats will be placed in an area such that -1/3 ≤ ≤ 1/3 and 0 ≤r≤4, where r is measured in hundreds of feet. The stage will be placed at the origin (pole) and the performers will face the audience in the direction of the polar axis. a) Create a polar graph of this area. b) If all the seats are occupied and each seat takes up 5 square feet of space, how many people will be seated in the bleachers?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 2GP
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A local charity is sponsoring an outdoor rock concert to raise money for children's cancer research. To accommodate as many patrons as possible,
bleachers are being imported so that all the fans will be seated during the performance. The seats will be placed in an area such that -π/3 ≤ ≤ π/3 and 0
<r<4, where r is measured in hundreds of feet. The stage will be placed at the origin (pole) and the performers will face the audience in the direction of
the polar axis.
a)
Create a polar graph of this area.
b)
If all the seats are occupied and each seat takes up 5 square feet of space, how many people will be seated in the bleachers?
Transcribed Image Text:A local charity is sponsoring an outdoor rock concert to raise money for children's cancer research. To accommodate as many patrons as possible, bleachers are being imported so that all the fans will be seated during the performance. The seats will be placed in an area such that -π/3 ≤ ≤ π/3 and 0 <r<4, where r is measured in hundreds of feet. The stage will be placed at the origin (pole) and the performers will face the audience in the direction of the polar axis. a) Create a polar graph of this area. b) If all the seats are occupied and each seat takes up 5 square feet of space, how many people will be seated in the bleachers?
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