A chocolate factory makes 240 chocolates in 6 minutes. The total number of chocolates produced is a function of the number of minutes that the factory is running.  (a)Write an equation that describes the total number of chocolates produced (y), as a function of the number of minutes (x) that the factory is running.  (b)Use the equation you wrote in part “a” to find the number of chocolates produced when the factory runs for 3 minutes, 16 minutes, and 20 minutes.  (c)Use the equation you wrote in part “a” to find how many minutes are required to produce 1500 chocolates?  (d)Plot the points from part “b” on the graph below  (e)Is the function linear or nonlinear? Explain how you know.

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 chocolate factory makes 240 chocolates in 6 minutes. The total number of chocolates produced is a function of the number of minutes that the factory is running. 

(a)Write an equation that describes the total number of chocolates produced (y), as a function of the number of minutes (x) that the factory is running. 

(b)Use the equation you wrote in part “a” to find the number of chocolates produced when the factory runs for 3 minutes, 16 minutes, and 20 minutes. 

(c)Use the equation you wrote in part “a” to find how many minutes are required to produce 1500 chocolates? 

(d)Plot the points from part “b” on the graph below 

(e)Is the function linear or nonlinear? Explain how you know. 

1,000
900
800
700
600
500
400
300
200
100
0 2 4 6 8 10 12 14 16 18 20
Time (minutes)
Chocolates produced
Transcribed Image Text:1,000 900 800 700 600 500 400 300 200 100 0 2 4 6 8 10 12 14 16 18 20 Time (minutes) Chocolates produced
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