A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes 32.5 0.21 +0.76t foxes (a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.) foxes N = (b) Make a graph of N versus t. O 160 140 120 100 N 80- 60 40 20 0 160- 140 120 100 N 80 60 40 20 0 5 5 10 10 t t 15 15 20 20 25 25 160 140 Explain in words how the population of foxes increases with time. 120- 100- N 80 60 40 20 0 160 140 120- 100 N 80- 60 40 20- 0 5 5 10 10 1 t 15 15 20 20 25 25
A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes 32.5 0.21 +0.76t foxes (a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.) foxes N = (b) Make a graph of N versus t. O 160 140 120 100 N 80- 60 40 20 0 160- 140 120 100 N 80 60 40 20 0 5 5 10 10 t t 15 15 20 20 25 25 160 140 Explain in words how the population of foxes increases with time. 120- 100- N 80 60 40 20 0 160 140 120- 100 N 80- 60 40 20- 0 5 5 10 10 1 t 15 15 20 20 25 25
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
When will the fox population reach 100 individuals? (Round your answer to two decimal places.)
The fox population will reach 100 individuals after(blank) years.
Transcribed Image Text:A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is
32.5
0.21 +0.76
N =
(a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.)
foxes
(b) Make a graph of N versus t.
O
160
140
120
100
N 80
60
40
20
0
160
140
120
100
foxes
N 80-
60
40
20
5
5
10
10
t
t
15
15
20
20
25
25
O
160
140
Explain in words how the population of foxes increases with time.
120-
100
N 80-
60
40
20
0
160
140
120
100
N 80-
60
40
20
0
5
5
10
10
t
t
15
15
20
20
25
25
Expert Solution
Step 1
The population after time is given by
Part
At time , the population of foxes is:
foxes were introduced in the protected area.
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