Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 111E
Related questions
Question
PART E ONLY
![Problem 5: A Population of Foxes
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 given by
a. How many foxes were introduced into the protected area? Show the substitution.
Answer in a complete sentence.
N=43-75
0.250.76 N=35
109
43.75
N =
0.25 +0.76
N=43.75
b. Sketch graph of N verses t and explain in words how the population of foxes
increases with time. Label the graph.
200/N
35 foxes were introduced
into the proteted ava
100=43.75
50
c. Use functional notation to express the number of foxes in the protected area
after 7 years then calculate its value. Round final answer to the nearest whole
number. Show the substitution. Dido
N=43.75
7=110
110 foxes were in the protected
ared after 7 years.
0.25+0.767
0.25 +0.76
srit
d. When will the fox population reach 100 foxes? Write the equation that you are
solving. Use the crossing-graph method to solve. Round to 1 decimal place. Answer
in a complete sentence.
3
Pg On
=.1 years
bloe aroo broauort CVT sd hort Hiw soing tow tA b
(19wend sit br
troq mi bruot
265-1
e. Find the carrying capacity for foxes in the protected area.
Enter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe032c050-6a8e-4f45-857e-be5d57ddf5ae%2Fdab2ad10-3114-47aa-a1a7-a56e4dd2f563%2F0draevb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 5: A Population of Foxes
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 given by
a. How many foxes were introduced into the protected area? Show the substitution.
Answer in a complete sentence.
N=43-75
0.250.76 N=35
109
43.75
N =
0.25 +0.76
N=43.75
b. Sketch graph of N verses t and explain in words how the population of foxes
increases with time. Label the graph.
200/N
35 foxes were introduced
into the proteted ava
100=43.75
50
c. Use functional notation to express the number of foxes in the protected area
after 7 years then calculate its value. Round final answer to the nearest whole
number. Show the substitution. Dido
N=43.75
7=110
110 foxes were in the protected
ared after 7 years.
0.25+0.767
0.25 +0.76
srit
d. When will the fox population reach 100 foxes? Write the equation that you are
solving. Use the crossing-graph method to solve. Round to 1 decimal place. Answer
in a complete sentence.
3
Pg On
=.1 years
bloe aroo broauort CVT sd hort Hiw soing tow tA b
(19wend sit br
troq mi bruot
265-1
e. Find the carrying capacity for foxes in the protected area.
Enter
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