2. The Terrapin Candy Company sells its specialty- Turtles made from pecans, caramel, and chocolate - through orders placed online. The company web page shows a table of prices for sample orders. Each price includes a fixed shipping - and - handling cost plus a cost per box of candy. Number of Boxes 2 3 4 5 10 Price (in dollars) 20 35 50 65 80 155 a. Explain why that price seems to be a linear function of the number of boxes ordered. b. What is the rate of change in order price as the number of boxes increases? c. Write a rule for calculating in the price P in dollars for n boxes of turtle candies.

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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2. The Terrapin Candy Company sells its specialty- Turtles made from pecans, caramel, and chocolate - through orders
placed online. The company web page shows a table of prices for sample orders. Each price includes a fixed shipping -
and - handling cost plus a cost per box of candy.
Number of Boxes
2 3 4 5
10
Price (in dollars)
20 35 50 65 80 155
a. Explain why that price seems to be a linear function of the number of boxes ordered.
b. What is the rate of change in order price as the number of boxes increases?
c. Write a rule for calculating in the price P in dollars for n boxes of turtle candies.
d. What is the fixed shipping and handling cost? How do you know?
e. Use your rule to find the price for 12 boxes. Show your work using your rule.
f. Use your rule to find how many boxes were sold if the price was $275. Show work using your rule.
Transcribed Image Text:2. The Terrapin Candy Company sells its specialty- Turtles made from pecans, caramel, and chocolate - through orders placed online. The company web page shows a table of prices for sample orders. Each price includes a fixed shipping - and - handling cost plus a cost per box of candy. Number of Boxes 2 3 4 5 10 Price (in dollars) 20 35 50 65 80 155 a. Explain why that price seems to be a linear function of the number of boxes ordered. b. What is the rate of change in order price as the number of boxes increases? c. Write a rule for calculating in the price P in dollars for n boxes of turtle candies. d. What is the fixed shipping and handling cost? How do you know? e. Use your rule to find the price for 12 boxes. Show your work using your rule. f. Use your rule to find how many boxes were sold if the price was $275. Show work using your rule.
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