The math club is throwing a graduation party for five of its members. The club has decided to hire a band for $600 and to buy $200 worth of food and drinks for the party. Each member of the club who attends the party (except the five graduates) is to pay an equal amount of the costs. All five graduating members will be attending the party. (a) Find a model for the cost per person (for nongraduating members), C, in dollars for this party if m members of the club attend the party. (m does include the five graduates. Assume that only members of the math club can attend.) --Select- (b) Find the cost per person for each nongraduating member of the club who attends the party if 45 members attend. (Include units in your answer. More information.) If 45 members attend the graduation party, then each nongraduating member attending will pay (c) What are a reasonable domain and range for this model if the math club has 50 members? (Round your answers to two decimal places.) Domain: O 17.78 s m s 800 5 s ms 50 OsCS 800 O 1s ms 50 17.78 sCs 800 6 s ms 50 Range: O oscs 800 17.78 sC so 17.78 < m s 800 17.78 sC S 800 5 < m s 50 O 6s m s 50

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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The math club is throwing a graduation party for five of its members. The club
has decided to hire a band for $600 and to buy $200 worth of food and drinks
for the party. Each member of the club who attends the party (except the
five graduates) is to pay an equal amount of the costs. All five graduating
members will be attending the party.
(a) Find a model for the cost per person (for nongraduating members), C, in
dollars for this party if m members of the club attend the party. (m does
include the
five graduates. Assume that only members of the math club can attend.)
--Select-
(b) Find the cost per person for each nongraduating member of the club who
attends the party if 45 members attend. (Include units in your answer. More
information.)
If 45 members attend the graduation party, then each nongraduating
member attending will pay
(c) What are a reasonable domain and range for this model if the math club has
50 members? (Round your answers to two decimal places.)
Domain:
O 17.78 s ms 800
5 sms 50
OscS 800
1s ms 50
17.78 <Cs 800
6 sm s 50
Range:
O oscs 800
17.78 sCSo
17.78 s m s 800
17.78 sCS 800
5 sms 50
6 sms 50
O O
Transcribed Image Text:The math club is throwing a graduation party for five of its members. The club has decided to hire a band for $600 and to buy $200 worth of food and drinks for the party. Each member of the club who attends the party (except the five graduates) is to pay an equal amount of the costs. All five graduating members will be attending the party. (a) Find a model for the cost per person (for nongraduating members), C, in dollars for this party if m members of the club attend the party. (m does include the five graduates. Assume that only members of the math club can attend.) --Select- (b) Find the cost per person for each nongraduating member of the club who attends the party if 45 members attend. (Include units in your answer. More information.) If 45 members attend the graduation party, then each nongraduating member attending will pay (c) What are a reasonable domain and range for this model if the math club has 50 members? (Round your answers to two decimal places.) Domain: O 17.78 s ms 800 5 sms 50 OscS 800 1s ms 50 17.78 <Cs 800 6 sm s 50 Range: O oscs 800 17.78 sCSo 17.78 s m s 800 17.78 sCS 800 5 sms 50 6 sms 50 O O
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