1. Calculate the doubling time for each of the following populations: a. Population A, which has an intrinsic growth rate (r) of 7%. Total population Y= 70 10% years %3D b. Population 8, which has 15 births and 8 deaths per 1,000 in the population per year. 15 = 10 C. Population C, which has a birth rate of 5% and death rate of 4%.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Chapter 7 Math Practice Problem Set
Calculating Population Size
Populations of any organism can be analyzed mathematically. Population biologists are interested in
characteristics such as doubling time, growth rate, carrying capacity, and total population at the end of a
given amount of time.
Use the following formulas to calculate doubling time of a population when there is no environmental
resistance and total population when environmental resistance limits growth.
70
Doubling time
% growth rate
Total population (when there is environmental resistance)=n+rn ()
Where n= initial population size
r= growth rate (expressed as a decimal)
K= carrying capacity
1. Calculate the doubling time for each of the following populations:
a. Population A, which has an intrinsic growth rate (r) of 7%.
Total population
70
= 10% years
%3D
b. Population 8, which has 15 births and 8 deaths per 1,000 in the population per year.
15 =
10
C. Population C, which has a birth rate of 5% and death rate of 4%.
146
net be scanned copled or duplicated, or posted to a publicly accessible website, in who
61 Cenge Lang in
Transcribed Image Text:Chapter 7 Math Practice Problem Set Calculating Population Size Populations of any organism can be analyzed mathematically. Population biologists are interested in characteristics such as doubling time, growth rate, carrying capacity, and total population at the end of a given amount of time. Use the following formulas to calculate doubling time of a population when there is no environmental resistance and total population when environmental resistance limits growth. 70 Doubling time % growth rate Total population (when there is environmental resistance)=n+rn () Where n= initial population size r= growth rate (expressed as a decimal) K= carrying capacity 1. Calculate the doubling time for each of the following populations: a. Population A, which has an intrinsic growth rate (r) of 7%. Total population 70 = 10% years %3D b. Population 8, which has 15 births and 8 deaths per 1,000 in the population per year. 15 = 10 C. Population C, which has a birth rate of 5% and death rate of 4%. 146 net be scanned copled or duplicated, or posted to a publicly accessible website, in who 61 Cenge Lang in
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