A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the population of foxes is given by the following. 31.5 0.24 +0.76 (a) Make a graph of N versus t covering the first 20 years. N = N 140 120 100 80 60 40 20 foxes N 140 120 100 80 60 40 20 5 10 D 10 1155 15 20 | 20 140 120 100 80 60 40 20 140 120 N 100 N 80 60 40 20 5 5 10 10 15 15 20 20 t t

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.CR: Chapter Review Exercises
Problem 2CR: Population of Foxes A breeding group of foxes is introduced into a protected area and exhibits...
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EC
A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the population of foxes is given by the following.
31.5
0.24 +0.76
(a) Make a graph of N versus t covering the first 20 years.
N=
!
1
38
F1
Q
140
N
120
100
O
80
60
40
20
foxes
140
N
120
2
100
O
80
60
40
20
F2
W
5
5
#
3
80
F3
E
10
10
S4
15
15
000
000
F4
R
%
5
20
20
t
O
T
O
140
120
100
80
60
40
20
140
120
100
80
60
N
40
20
#00
FS
N
^
6
F6
Y
5
5
&
7
44
F7
10
10
U
* 00
8
15
15
DII
F8
I
20
(
9
20
t
t
DD
F9
)
0
0
A
F10
P
(3)
F11
S
Transcribed Image Text:EC A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the population of foxes is given by the following. 31.5 0.24 +0.76 (a) Make a graph of N versus t covering the first 20 years. N= ! 1 38 F1 Q 140 N 120 100 O 80 60 40 20 foxes 140 N 120 2 100 O 80 60 40 20 F2 W 5 5 # 3 80 F3 E 10 10 S4 15 15 000 000 F4 R % 5 20 20 t O T O 140 120 100 80 60 40 20 140 120 100 80 60 N 40 20 #00 FS N ^ 6 F6 Y 5 5 & 7 44 F7 10 10 U * 00 8 15 15 DII F8 I 20 ( 9 20 t t DD F9 ) 0 0 A F10 P (3) F11 S
esc
1
100
!
80
O
60
40
F1
20
Q
(b) Calculate N(5). (Round your answer to the nearest whole number.)
N(5) =
(c) For what values of t is the graph concave up?
O (0, 31.5)
O (5.20,00)
O (0, 5.20)
O (0,00)
O (31.5, ∞)
Need Help? Read It
5
For what values of t is the graph concave down?
O (5.20, ∞)
O (0,5.20)
O (0, 31.5)
O (31.5, )
O (0,00)
@
2
10
W
#3
Explain in practical terms what your answer means. (Round the numerical answer to the nearest whole number.)
There are
foxes 5 years -Select- introduction.
80
F3
15
E
$
4
(d) What is the carrying capacity, or limiting value, of N? (Round your answer to the nearest whole number.)
20
000
DOD
F4
t
R
%
5
A
F5
T
100
^
80
6
60
40
20
5
244
F6
Y
&
7
10
F7
U
*
8
DII
F8
15
I
(
9
20
DD
F9
t
)
0
0
a
F10
I
P
Transcribed Image Text:esc 1 100 ! 80 O 60 40 F1 20 Q (b) Calculate N(5). (Round your answer to the nearest whole number.) N(5) = (c) For what values of t is the graph concave up? O (0, 31.5) O (5.20,00) O (0, 5.20) O (0,00) O (31.5, ∞) Need Help? Read It 5 For what values of t is the graph concave down? O (5.20, ∞) O (0,5.20) O (0, 31.5) O (31.5, ) O (0,00) @ 2 10 W #3 Explain in practical terms what your answer means. (Round the numerical answer to the nearest whole number.) There are foxes 5 years -Select- introduction. 80 F3 15 E $ 4 (d) What is the carrying capacity, or limiting value, of N? (Round your answer to the nearest whole number.) 20 000 DOD F4 t R % 5 A F5 T 100 ^ 80 6 60 40 20 5 244 F6 Y & 7 10 F7 U * 8 DII F8 15 I ( 9 20 DD F9 t ) 0 0 a F10 I P
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