Answered: A theatre has a seating capacity of…

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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Casey works at the Sports Gym as a counselor for x hours a week after school a job that pays $3 an hour . She has accepted a job that pays $9 an hour at Carvel working y hours per week. She will work both jobs. She is able to work no more than 17 hours per week . Casey wants to earn at least $72a. Write a system of linear inequalities that can be used to find the possible combinations of hours working at the Sports Gym and at Carvel so Casey earns at least $72.
A drugstore is selling two types of notebooks for $3 and $4. If a person wants to spend between $10 and $15 on notebooks, write the system of inequalities that represents this situation.
2. Suppose you are buying two kinds of chips for a party. Each bag of potato chips costs $2.50 and each bag of corn chips costs $2.90. You must have at least 100 bags of chips for the party and the total cost of the chips can be no more than $350. Part A: Write a system of two inequalities that describe the situation. Part B: Graph the system to show all possible outcomes. Part C: Write one possible solution to the problem in sentence form.

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A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and $12.00, respectively. The theatre must take in a minimum of $1,200.00 per performance. Express this information as a system of inequalities and graph the system of these inequalities.