vegetation (mea- sured in pounds) eaten in a day by a grazing animal is a function of the amount V of food available (measured in pounds per acre).3º Even if vegetation is abun- dant, there is a limit, called the satiation level, to the amount the animal will eat. The following table shows, for rabbits, the difference D between the satiation level and the amount A of food eaten for a variety of values of V. V = vegetation level | D = satiation level – A %3D 27 0.16 36 0.12 89 0.07 stock_shot/Shutterstock.com

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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13. Grazing Rabbits
The amount A of
vegetation (mea-
sured in pounds)
eaten in a day by
a grazing animal
is a function of the
amount V of food
available (measured
in pounds per acre).30 Even if vegetation is abun-
dant, there is a limit, called the satiation level, to
the amount the animal will eat. The following table
shows, for rabbits, the difference D between the
satiation level and the amount A of food eaten for a
variety of values of V.
V
vegetation level
D = satiation level – A
27
0.16
36
0.12
89
0.07
134
0.05
245
0.01
a. Draw a plot of D versus V.
b. Find an exponential function that approximates D.
c. The satiation level of a rabbit is 0.18 pound per
day. Use this, together with your work in part b,
to find a formula for A.
d. Find the vegetation level V for which the amount
of food eaten by the rabbit will be 90% of its
satiation level of 0.18 pound per day.
stock_shot/Shutterstock.com
Transcribed Image Text:13. Grazing Rabbits The amount A of vegetation (mea- sured in pounds) eaten in a day by a grazing animal is a function of the amount V of food available (measured in pounds per acre).30 Even if vegetation is abun- dant, there is a limit, called the satiation level, to the amount the animal will eat. The following table shows, for rabbits, the difference D between the satiation level and the amount A of food eaten for a variety of values of V. V vegetation level D = satiation level – A 27 0.16 36 0.12 89 0.07 134 0.05 245 0.01 a. Draw a plot of D versus V. b. Find an exponential function that approximates D. c. The satiation level of a rabbit is 0.18 pound per day. Use this, together with your work in part b, to find a formula for A. d. Find the vegetation level V for which the amount of food eaten by the rabbit will be 90% of its satiation level of 0.18 pound per day. stock_shot/Shutterstock.com
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