Question A caterer offers a package that feeds up to 50 people for $1,500 and adds an additional charge of $24.75 for each additional person. Enter a linear model that represents the total amount charged a host, t, as a function of g, the number of additional guests. Provide your answer below: t(g):

Question A caterer offers a package that feeds up to 50 people for $1,500 and adds an additional charge of $24.75 for each additional person. Enter a linear model that represents the total amount charged a host, t, as a function of g, the number of additional guests. Provide your answer below: t(g):

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 50E: Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs...

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Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs in one day and 4800 to produce 300 chairs in one day. a Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. b Draw a graph of C. What is the slope of this line? c At what rate does the factorys cost increase for every additional chair produced?
Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chair in or day. (a) Assuming that the relationship between cost and the number of chair’ produced is linear, find a linear function C that models the cost of producing x chair’s in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory’s cost increase for every additional chair produced?
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