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3. You want to create a box with an open top by cutting squares with sides of length x from each corner of a 25 in. x 15 in. rectangle sheet of cardboard and folding up the sides. Write a function in the variable x that represents the volume of the box and determine the domain of the function.

3. You want to create a box with an open top by cutting squares with sides of length x from each corner of a 25 in. x 15 in. rectangle sheet of cardboard and folding up the sides. Write a function in the variable x that represents the volume of the box and determine the domain of the function.

Calculus: Early Transcendentals
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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3. You want to create a box with an open top by cutting squares with sides of length x from each corner of a 25 in. x 15 in. rectangle sheet of cardboard and folding up the sides. Write a function in the variable x that represents the volume of the box and determine the domain of the function.
Transcribed Image Text:3. You want to create a box with an open top by cutting squares with sides of length x from each corner of a 25 in. x 15 in. rectangle sheet of cardboard and folding up the sides. Write a function in the variable x that represents the volume of the box and determine the domain of the function.
4. A coffee shop currently sells 480 lattes a day at $3.00 each. They recently tried raising the price and found that they sell 60 less lattes a day for each $0.60 increase in the price. Let x represent the number of $0.60 increases in the price of a latte. Write a function in the variable x that represents the daily revenue from selling lattes and determine the domain of the function. Hint: Revenue = (price per latte) (no. of lattes sold)
Transcribed Image Text:4. A coffee shop currently sells 480 lattes a day at $3.00 each. They recently tried raising the price and found that they sell 60 less lattes a day for each $0.60 increase in the price. Let x represent the number of $0.60 increases in the price of a latte. Write a function in the variable x that represents the daily revenue from selling lattes and determine the domain of the function. Hint: Revenue = (price per latte) (no. of lattes sold)
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