In the last chapter, a main focus was on rational functions (ratios). In chapter 3, a main focus was on linear functions. This discussion will review both types of functions, in order for you to create a function that models the given situation. First you will pick two numbers a and b. For a , pick any natural number between 0 and 100. For b, pick any natural number between 0 and 10. State your choices in your post. Next, your goal is to write a rational function for a local walnut grower that will determine the cost per crate of walnuts in year x. x will represent the years passed since the year 2000. Assume that the total cost of all walnuts grown was $40,000 in the year 2000 and total cost has been increasing by 'a' dollars per year. Also assume that the number of crates sold in the year 2000 was 2000 and the number of crates sold has been decreasing by 'b' crates per year. Use this information to write a function for C(x), the cost per crate of walnuts in year a. Notice that each of your functions should have a similar structure, but each will be different because you are using your own values for a and b in the function. Use your function to find C(21) and write a sentence to thoroughly explain the meaning of С(21).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In the last chapter, a main focus was on rational functions (ratios). In chapter 3, a main focus was on linear functions. This discussion will review both types of functions, in order for you to create a function that models the given situation.

First you will pick two numbers \( a \) and \( b \). For \( a \), pick any natural number between 0 and 100. For \( b \), pick any natural number between 0 and 10. State your choices in your post.

Next, your goal is to write a rational function for a local walnut grower that will determine the cost per crate of walnuts in year \( x \). \( x \) will represent the years passed since the year 2000. Assume that the total cost of all walnuts grown was $40,000 in the year 2000 and total cost has been increasing by 'a' dollars per year. Also assume that the number of crates sold in the year 2000 was 2000 and the number of crates sold has been decreasing by 'b' crates per year. Use this information to write a function for \( C(x) \), the cost per crate of walnuts in year \( x \).

Notice that each of your functions should have a similar structure, but each will be different because you are using your own values for \( a \) and \( b \) in the function. Use your function to find \( C(21) \) and write a sentence to thoroughly explain the meaning of \( C(21) \).
Transcribed Image Text:In the last chapter, a main focus was on rational functions (ratios). In chapter 3, a main focus was on linear functions. This discussion will review both types of functions, in order for you to create a function that models the given situation. First you will pick two numbers \( a \) and \( b \). For \( a \), pick any natural number between 0 and 100. For \( b \), pick any natural number between 0 and 10. State your choices in your post. Next, your goal is to write a rational function for a local walnut grower that will determine the cost per crate of walnuts in year \( x \). \( x \) will represent the years passed since the year 2000. Assume that the total cost of all walnuts grown was $40,000 in the year 2000 and total cost has been increasing by 'a' dollars per year. Also assume that the number of crates sold in the year 2000 was 2000 and the number of crates sold has been decreasing by 'b' crates per year. Use this information to write a function for \( C(x) \), the cost per crate of walnuts in year \( x \). Notice that each of your functions should have a similar structure, but each will be different because you are using your own values for \( a \) and \( b \) in the function. Use your function to find \( C(21) \) and write a sentence to thoroughly explain the meaning of \( C(21) \).
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