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).

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,...

See similar textbooks

Related questions

Q: Based on data from the Kelley Blue Book, the value of a certain car decreases approximately…

Q: Part A: Find the difference between the cost of a two-line ad and the cost of a three-line ad.…

A: This is a problem of counting.

Q: A department store is selling its plastic shoe boxes for $1.50 off the regular price of a shoe box.…

A: Lets , regular cost = rTotal cost = T shoe boxes price is $1.50 off the regular price of a shoe…

Q: A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

A: The charges are $5 per hour for the first two hours. The charges are $2.5 per hour after the first…

Q: The table shows a list of functions represented by equations. Match each equation to the type of…

A: To Identify : Whether the given equations are linear or non linear function.

Q: The total revenue function for a product is given by R = 330x dollars, and the total cost function…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Based on market data, a shoe company estimates that the relationship between the price, p, of a pair…

Q: A small grocer finds that the monthly sales y (in S) can be approximated as a function of the amount…

Q: A company finds it can produce 20 heaters for $6000, while producing 30 heaters costs $8700. Express…

Q: The fixed costs of a company is $3200. The variable cost to produce a widget is $25. CRP1. Set up…

A: Given that the fixed costs of a company is $3200 and the variable cost to produce a widget is $25.…

Q: A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

Question

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) $.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Values of a and b

VIEW

Step 2: Total Cost of walnut production

VIEW

Step 3: Sales of walnut crates per year

VIEW

Step 4: Expression for C(x), 'cost per crate' as function of year 'x'.

VIEW

Step 5: Cost per crate for x = 21 or year 2021.

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Do the following
Jimmy has to fill up his car with gasoline to drive to and from work next week. If gas costs $1.89 per gallon, and his car holds a maximum of 25 gallons, what is the domain and range of the function?
Hello, I am having problems with this problem. Thank you.
In which year are PEV sales projected to equal 8.2 %of total vehicle sales?
The entire freshman class of Wannago High School is going on a field trip. The number of buses needed is a function of the number of people going. The school bus company has buses that can hold 37 passengers and there will be two adults per bus. How many buses will be needed for 237 students?