A NC university implemented a fine for any student having a party during the pandemic at $150 plus $5 per person for each person over the limit of 10 per gathering. (a) Find the fine for having a party with 50 people present. Show your work. (b) Write a function that determines the fine as a function of the number of people attending the party. (Assume the allowed number of people is 10). Define any variables. (c) Find the inverse of the function from part b.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A NC university implemented a fine for any student having a party during the pandemic at $150 plus $5 per person for each person over the limit of 10 per gathering.

(a) Find the fine for having a party with 50 people present. Show your work.

(b) Write a function that determines the fine as a function of the number of people attending the party. (Assume the allowed number of people is 10). Define any variables.

(c) Find the inverse of the function from part b.

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