Math  /  Algebra

QuestionA student agrees to throw a party, provided that each guest shares the expenses equally with him. A four-person local band will play for $200\$ 200 and free drinks and snacks. The student estimates that the mean cost of drinks and snacks will be $2\$ 2 per person. a. Suppose that nn people (including the host and band members) attend the party. Let C(n)C(n) be the party's total cost (in dollars). Find an equation of CC. C(n)=200+2nC(n)=200+2 n (Do not factor.) b. Let P(n)P(n) be the equal share of expenses (in dollars) each guest and host contributes. Find an equation of PP. [Hint: Recall that band members get free drinks and snacks.] P(n)=P(n)= \square (Do not factor.)

Studdy Solution
a. C(n)=192+2nC(n) = 192 + 2n b. P(n)=192n+2P(n) = \frac{192}{n} + 2

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