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

Question

Mathematics

Mohamed Frank

2 April, 20:45

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

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Mahoney · Answer 1

($30s+g)

Step-by-step explanation:

If a caterer offers a package that feeds up to 50 people for $1,500, the amount of packaged that fed one person will be $1500/50 which is $30.

If there is an additional charge of $24.75 on each person, the total amount spent on each person will be $50+$24.75 which is $74.75.

The linear model that represent total amount charge per host s as a function of additional guest will be $30s+g since a person spent $30 plus additional charge of 'g'