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) = 0.25 + 0.76 foxes. (a) How many foxes were introduced into the protected area? 30 v foxes (b) Calculate N(8). (Round your answer to the nearest whole number.) N(8) = 104 Explain the meaning of the number you have calculated. This means that after 8 years there were about 103.87 v 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. O 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. • The fox population is growing, but the population does not grow as rapidly in later years as it did early on. (d) Find the carrying capacity for foxes in the protected area. X foxes

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) = 0.25 + 0.76 foxes. (a) How many foxes were introduced into the protected area? 30 v foxes (b) Calculate N(8). (Round your answer to the nearest whole number.) N(8) = 104 Explain the meaning of the number you have calculated. This means that after 8 years there were about 103.87 v 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. O 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. • The fox population is growing, but the population does not grow as rapidly in later years as it did early on. (d) Find the carrying capacity for foxes in the protected area. X foxes

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Description: Please answer part d and e 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 by37.5N(t) =- foxes.0.25 + 0.76(a) How many foxes were introduced into the pr

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Please answer part d and e

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?
30
V foxes
(b) Calculate N(8). (Round your answer to the nearest whole number.)
N(8) = 104
Explain the meaning of the number you have calculated.
This means that after 8 years there were about 103.87
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.
O 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.
O The fox population is growing, but the population does not grow as rapidly in later years as it did early on.
(d) Find the carrying capacity for foxes in the protected area.
X 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

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