Problem 1: A beverage company has just completed brewing a large batch of tea (1500 gallons). They will add sweetening to the tea, then bottle it and prepare it for distribution. a) Suppose 10 gallons of corn syrup is added to the mixture as a sweetener. I. What is the ratio of tea to corn syrup in the mixture? I. What if 50 gallons of corn syrup were added instead? II. What if 200 gallons of corn syrup were added instead? b) Define a function f whose input x is the amount of corn syrup added (in gallons) and whose output R is the ratio of tea to corn syrup in the mixture. c) What is the practical domain for the function you defined?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter20: Ratio And Propor Tion
Section: Chapter Questions
Problem 43A: The proportion AB=CDcompares the sides of two triangles like those in Figure 209. Determine the...
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Problem 1: A beverage company has just completed brewing a large batch of tea (1500 gallons). They will add
sweetening to the tea, then bottle it and prepare it for distribution.
a) Suppose 10 gallons of corn syrup is added to the mixture as a sweetener.
I.
What is the ratio of tea to corn syrup in the mixture?
I.
What if 50 gallons of corn syrup were added instead?
II.
What if 200 gallons of corn syrup were added instead?
b) Define a function f whose input x is the amount of corn syrup added (in gallons) and whose output R
is the ratio of tea to corn syrup in the mixture.
c) What is the practical domain for the function you defined?
d) Complete the given table for values of this function:
R = f(x)
0.001
0.01
0.1
1
e) What happens as x → 0+? Why does this make sense?
Transcribed Image Text:Problem 1: A beverage company has just completed brewing a large batch of tea (1500 gallons). They will add sweetening to the tea, then bottle it and prepare it for distribution. a) Suppose 10 gallons of corn syrup is added to the mixture as a sweetener. I. What is the ratio of tea to corn syrup in the mixture? I. What if 50 gallons of corn syrup were added instead? II. What if 200 gallons of corn syrup were added instead? b) Define a function f whose input x is the amount of corn syrup added (in gallons) and whose output R is the ratio of tea to corn syrup in the mixture. c) What is the practical domain for the function you defined? d) Complete the given table for values of this function: R = f(x) 0.001 0.01 0.1 1 e) What happens as x → 0+? Why does this make sense?
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