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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 16E: High School Graduates The following table shows the number, in millions, graduating from high school...
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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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