Elite Catering charges $400 to plan a banquet plus $20 per plate. Society Catering's charges are $100 for the planning and $25 per plate. Let E(x) and S(x) represent the cost of a banquet for x persons catered by Elite and Society, respectively. (a) Find E(x) and S(x) (b) Graph E(x) and S(x) on the same set of axes. (c) Find the number of people for which the cost is the same with either company.   ??    people

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Elite Catering charges $400 to plan a banquet plus $20 per plate. Society Catering's charges are $100 for the planning and $25 per plate. Let E(x) and S(x) represent the cost of a banquet for x persons catered by Elite and Society, respectively.

(a) Find E(x) and S(x)
(b) Graph E(x) and S(x) on the same set of axes.
(c) Find the number of people for which the cost is the same with either company.
  ??    people
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