Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols, C = S where C is the concentration, S is the amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added. Questions: 1. How much orange juice do you begin with? Write an expression for the amount of orange juice present after x ounces has been added. 2. Write an expression for the total amount of punch present after x ounces has been added. 3. Using the answers in (a) and (b), write a rational function defining the pineapple juice concentration as a function of x. 4. Give the x and y - intercepts of the rational function. 5. What is the equation of the vertical asymptote and of the horizontal asymptote?

The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols, C = S where C is the concentration, S is the amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added. Questions: 1. How much orange juice do you begin with? Write an expression for the amount of orange juice present after x ounces has been added. 2. Write an expression for the total amount of punch present after x ounces has been added. 3. Using the answers in (a) and (b), write a rational function defining the pineapple juice concentration as a function of x. 4. Give the x and y - intercepts of the rational function. 5. What is the equation of the vertical asymptote and of the horizontal asymptote?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter25: Achievement Review—section Two
Section: Chapter Questions
Problem 14AR: Analyze each of the following problems to determine whether the problem is a direct or inverse...
See similar textbooks
icon
Related questions
Question

Read and answer the 3, 4, and 5 questions below. Show the solutions and final answers.

The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols, C = S Q where C is the concentration, S is the amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added. Questions: 1. How much orange juice do you begin with? Write an expression for the amount of orange juice present after x ounces has been added. 2. Write an expression for the total amount of punch present after x ounces has been added. 3. Using the answers in (a) and (b), write a rational function defining the pineapple juice concentration as a function of x. 4. Give the x and y - intercepts of the rational function. 5. What is the equation of the vertical asymptote and of the horizontal asymptote?
Transcribed Image Text:The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols, C = S Q where C is the concentration, S is the amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added. Questions: 1. How much orange juice do you begin with? Write an expression for the amount of orange juice present after x ounces has been added. 2. Write an expression for the total amount of punch present after x ounces has been added. 3. Using the answers in (a) and (b), write a rational function defining the pineapple juice concentration as a function of x. 4. Give the x and y - intercepts of the rational function. 5. What is the equation of the vertical asymptote and of the horizontal asymptote?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS