In this problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelines on page 237 to help you.A rancher with 600 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure).(a) Find a function A that models the total area of the four pens. (Use w to represent the width of the field.)A(w) =(b) Find the largest possible total area of the four pens.ft?

According to the given problem we have the fencing required 2l + 5w = 600 {Perimeter}where l =…

Answered: A rancher with 600 ft of fencing wants…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 22P: In these problems you are asked to find a function that model a real-life situation and then use the...

See similar textbooks

Similar questions

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Bird Flight A bird is released from point A on an island. 5 mi from the nearest point Bon a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its nesting area D (see the figure). Suppose the bird requires 10 Kcal/mi of energy to fly over land md 14 kcal/mi to fly over water. a) Use the fact that energy used = energy per mile X miles flown to show that the total energy used by the bird is modeled by the function E(x)=14x2+25+10(12x) (b) If the bird instinctively chooses a path that minimizes its energy expenditure, to whatpoint does it fly?
How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?
In these problems you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use guidelines on page 273 to help you. Minimizing Costs A rancher wants to build a rectangular pen with an area of 100m2 . (a) Find a funtions that models the lenghth of fencing required. (b) Find the pen dimensions that require the minimum amount of fencing.
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal shift from a vertical shift?
What is the difference between the input and the output of a function?
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?
Why does the horizontal line test tell us whether the graph of a function is one-to-one?
How do you find the domain for the composition of two functions, fg ?

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Intermediate Algebra

Algebra

ISBN:

9781285195728

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS