A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years the number of foxes is given by 37.5 N(t) = - foxes. 0.25 + 0 0.76 (a) How many foxes were introduced into the protected area? foxes (b) Calculate N(2). (Round your answer to the nearest whole number.) N(2) = Explain the meaning of the number you have calculated. This means that after 2 years there were about foxes in the protected area. (c) Explain how the population varies with time. Include in your explanation the average rate of increase over the first 10-year period and the average rate of increase over the second 10-year period. The fox population is growing, but the population does not grow as rapidly in later years as it did early on. The fox population is constant. O The fox population is growing, but the population does not grow as rapidly in early years as it did later on. Menno Schaefer/Shut terstock.com

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years the number
of foxes is given by
37.5
N(t)
foxes.
0.25 + 0.76
(a) How many foxes were introduced into the protected area?
foxes
(b) Calculate N(2). (Round your answer to the nearest whole number.)
N(2)
Explain the meaning of the number you have calculated.
This means that after 2 years there were about
foxes in the protected area.
(c) Explain how the population varies with time. Include in your explanation the average rate of increase over the first
10-year period and the average rate of increase over the second 10-year period.
The fox population is growing, but the population does not grow as rapidly in later years as it did early on.
The fox population is constant.
O The fox population is growing, but the population does not grow as rapidly in early years as it did later on.
(d) Find the carrying capacity for foxes in the protected area.
foxes
(e) As we saw in the discussion of terminal velocity for a skydiver, the question of when the carrying capacity is
reached may lead to an involved discussion. We ask the question differently. When is 98% of carrying capacity
reached? (Round your answer to the nearest year.)
after
|years
Menno Schaefer/Shut terstock.com
Transcribed Image Text:A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years the number of foxes is given by 37.5 N(t) foxes. 0.25 + 0.76 (a) How many foxes were introduced into the protected area? foxes (b) Calculate N(2). (Round your answer to the nearest whole number.) N(2) Explain the meaning of the number you have calculated. This means that after 2 years there were about foxes in the protected area. (c) Explain how the population varies with time. Include in your explanation the average rate of increase over the first 10-year period and the average rate of increase over the second 10-year period. The fox population is growing, but the population does not grow as rapidly in later years as it did early on. The fox population is constant. O The fox population is growing, but the population does not grow as rapidly in early years as it did later on. (d) Find the carrying capacity for foxes in the protected area. foxes (e) As we saw in the discussion of terminal velocity for a skydiver, the question of when the carrying capacity is reached may lead to an involved discussion. We ask the question differently. When is 98% of carrying capacity reached? (Round your answer to the nearest year.) after |years Menno Schaefer/Shut terstock.com
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