You monitor the white-tailed deer population for the Wright State campus and woods and estimate 14 deer in the first year and 21 deer in the second year. (A) Assume the deer population is growing geometrically. Based on these data, what is geometric growth rate constant (A)? (B) Geometric growth patterns can also be modeled exponentially. If modeled exponentially, would you expect the exponential growth rate constant (r) to be greater than, less than, or equal to 0? Why? You monitor the deer population for many years. The population grows for a few more years, then seems to stabilize around 75 deer. (C) Given this information, what would be a more appropriate model for the deer population growth? Why? (D) What factors might be limiting the population growth? Would these factors be considered density-dependent or density-independent factors? Why?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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You monitor the white-tailed deer population for the Wright State campus and
woods and estimate 14 deer in the first year and 21 deer in the second year.
(A) Assume the deer population is growing geometrically. Based on these data, what
is geometric growth rate constant (A)?
(B) Geometric growth patterns can also be modeled exponentially. If modeled
exponentially, would you expect the exponential growth rate constant (r) to be
greater than, less than, or equal to 0? Why?
You monitor the deer population for many years. The population grows for a few
more years, then seems to stabilize around 75 deer.
(C) Given this information, what would be a more appropriate model for the deer
population growth? Why?
(D) What factors might be limiting the population growth? Would these factors be
considered density-dependent or density-independent factors? Why?
Transcribed Image Text:You monitor the white-tailed deer population for the Wright State campus and woods and estimate 14 deer in the first year and 21 deer in the second year. (A) Assume the deer population is growing geometrically. Based on these data, what is geometric growth rate constant (A)? (B) Geometric growth patterns can also be modeled exponentially. If modeled exponentially, would you expect the exponential growth rate constant (r) to be greater than, less than, or equal to 0? Why? You monitor the deer population for many years. The population grows for a few more years, then seems to stabilize around 75 deer. (C) Given this information, what would be a more appropriate model for the deer population growth? Why? (D) What factors might be limiting the population growth? Would these factors be considered density-dependent or density-independent factors? Why?
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