Question

Suppose the CEO of a company wants to have a company dinner catered. It will cost...

Suppose the CEO of a company wants to have a company dinner
catered. It will cost $275 to rent the dining hall and $28 per meal
served. The dining hall seats a maximum of 85 persons.
a. Explain why the total cost, C, depends on n, the number of meals
served. Why would there be a linear relationship between C and
n?

b. Write a linear equation that gives the total cost for the dinner based
on the number of meals served. Then write a mathematical model
in words that includes not only the equation but also descriptions
of all involved variables and their units of measure as well as any
restrictions on the possible values of the variable n.

c. Identify the slope of the equation and give an interpretation of this
parameter (that is, explain what it means in the context of this
situation).

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