Make the graph of C versus V. Include vegetation levels up to 1000 pounds per acre. 3 2 2 200 400 600 800 1000 200 400 600 800 1000 3.0 2.5 3. 2.0 1.5 1.0 0.5 200 400 600 800 1000 200 400 600 800 1000 (b) Calculate C(600). (Round your answer to three decimal places.) C(600) = Explain in practical terms what your answer means. O C(600) represents the amount of food a sheep will consume when 600 pounds per acre of vegetation is available. O (600) represents the amount of vegetation available when a sheep consumes 600 pounds of food. (c) Is the graph concave up or concave down? O concave up concave down

Make the graph of C versus V. Include vegetation levels up to 1000 pounds per acre. 3 2 2 200 400 600 800 1000 200 400 600 800 1000 3.0 2.5 3. 2.0 1.5 1.0 0.5 200 400 600 800 1000 200 400 600 800 1000 (b) Calculate C(600). (Round your answer to three decimal places.) C(600) = Explain in practical terms what your answer means. O C(600) represents the amount of food a sheep will consume when 600 pounds per acre of vegetation is available. O (600) represents the amount of vegetation available when a sheep consumes 600 pounds of food. (c) Is the graph concave up or concave down? O concave up concave down

Name: 3 and 6 The amount Cof food consumed in a day by a sheep is a function
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Description: 3 and 6 The amount Cof food consumed in a day by a sheep is a function of the amount V of vegetation available, and a model is3VC =50 + VHere Cis measured in pounds and V in pounds per acre. This relationship is called the functional response.(a) Mak

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 21E: Grazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available...

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3 and 6

The amount Cof food consumed in a day by a sheep is a function of the amount V of vegetation available, and a model is
3V
C =
50 + V
Here Cis measured in pounds and V in pounds per acre. This relationship is called the functional response.
(a) Make the graph of C versus V. Include vegetation levels up to 1000 pounds per acre.
4
3
3
2
2
1
200
400
600
800
1000
200
400
600
800
1000
3.0
2.5
3.
2.0
1.5
2
1.0
0.5
V
1000
200
400
600
800
200
400
600
800
1000
(b) Calculate C(600). (Round your answer to three decimal places.)
C(600) =
Explain in practical terms what your answer means.
O C(600) represents the amount of food a sheep will consume when 600 pounds per acre of vegetation is available.
O C(600) represents the amount of vegetation available when a sheep consumes 600 pounds of food.
(c) Is the graph concave up or concave down?
O concave up
O concave down
Explain in practical terms what this means.
O As the amount of vegetation available increases, the amount of food consumed decreases at a decreasing rate.
OAs the amount of vegetation available increases, the amount of food consumed increases at an increasing rate.
„OAs the amount of vegetation available increases, the amount of food consumed decreases at an increasing rate.
OAs the amount of vegetation available increases, the amount of food consumed increases at a decreasing rate.
(d) From the graph it should be apparent that there is a limit to the amount of food consumed as more and more vegetation is available. Find this limiting value of C.
C =
|Ib

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