1.	A colony of penguins had 352 members at the beginning of 1998. The colony is expanding at an average rate of 1.2% per year. How many penguins will there be at the beginning of 2005? 	

2.	A colony of penguins had 541 members at the beginning of 1994. At the beginning of 2001 the colony had grown to 670 members. What was the average growth rate over that period of time? 	

3.	A colony of penguins had 1024 members at the beginning of 2001. The colony is expanding at an average rate of 3.4% per year. How many penguins will there be at the beginning of 2003? 	

4.	A colony of penguins had 534 members at the beginning of 1998. At the beginning of 2001 the colony had grown to 721 members. What was the average growth rate over that period of time? 	

5.	The population of the state of Virginia was 7,187,700 at the beginning of 2002. Assuming an average growth rate of 1.5% per year, what will the population be at the beginning of 2020? 	

6.	The population of a small town was 4200 at the beginning of 2002. Assuming an average growth rate of 0.2% per year, what will the population be at the beginning of 2020? 	

7.	Suppose the world demand for gold is about 32,000,000 troy ounces per year. The known global reserves are 100,000,000,000 troy ounces. What is the static reserve for gold? 	

8.	Suppose the world demand for gold is about 32,000,000 troy ounces per year. The known global reserves are 100,000,000,000 troy ounces. The demand for gold is increasing at a rate of 4.1%. What is the exponential reserve for gold? 	

9.	Suppose the world demand for zinc is about 5,000,000 tons per year. The known global reserves are 123,000,000 tons. What is the static reserve for zinc? 	

10.	Suppose the world demand for zinc is about 5,000,000 tons per year. The known global reserves are 123,000,000 tons. The demand for zinc is increasing at a rate of 2.9%. What is the exponential reserve for zinc? 	

11.	Suppose the world demand for aluminum is about 16,800,000 tons per year. The known global reserves are 1,700,000,000 tons. The demand for aluminum is increasing at a rate of 6.4%. What is the exponential reserve for aluminum? 	

12.	Suppose the world demand for coal is about 2,174,000,000 tons per year. The known global reserves are 5,000,000,000,000 tons. What is the static reserve for coal? 	

13.	Suppose the world demand for coal is about 2,174,000,000 tons per year. The known global reserves are 5,000,000,000,000 tons. The demand for coal is increasing at a rate of 4.1%. What is the exponential reserve for coal? 	

Use the following to answer questions 14-16:

A reproduction curve for a population is shown in the figure below. Use this figure to answer the following questions. Units are in thousands.

14.	Estimate the maximum sustainable yield. 	

15.	Estimate the equilibrium population size. 	

16.	Estimate the sustainable yield corresponding to a population of size 20,000 remaining after the harvest. 	

Use the following to answer questions 17-19:

A reproduction curve for a population is shown in the figure below. Use this figure to answer the following questions. Units are in thousands.

17.	Estimate the maximum sustainable yield. 	

18.	Estimate the equilibrium population size. 	

19.	Estimate the sustainable yield corresponding to a population of size 40,000 remaining after the harvest. 	

20.	A population grows according to a logistic growth model, with population parameter l = 4.1 and x = 0.9 for the first year. Find the value of x after the second year. 	

21.	A population grows according to a logistic growth model, with population parameter l = 1.4 and x = 0.05 for the first year. Find the value of x after the second year. 	

22.	Suppose the world demand for aluminum is about 16,800,000 tons per year. The known global reserves are 1,700,000,000 tons. What is the static reserve for aluminum? 	

23.	A population grows according to a logistic growth model, with population parameter l = 3.9 and x = 0.84 for the first year. Find the value of x after the second year. 	

24.	A population grows according to a logistic growth model, with population parameter l = 1.4 and x = 0.05 for the first year. Find the value of x after the third year. 	

25.	A population grows according to a logistic growth model, with population parameter l = 2.4 and x = 0.01 for the first year. Find the value of x after the third year. 	

26.	A population grows according to a logistic growth model, with population parameter l = 3.1 and x = 0.9 for the first year. Find the value of x after the second year. 	

27.	A population grows according to a logistic growth model, with population parameter l = 1.9 and x = 0.05 for the first year. Find the value of x after the second year. 	

28.	Suppose the world demand for aluminum is about 16,800,000 tons per year and the static reserve is 100.  What are the known global reserves for aluminum?	

29.	Suppose the world demand for coal is about 2,174,000,000 tons per year and the static reserve is 2300. What are the known global reserves for coal? 	

30.	A population grows according to a logistic growth model, with population parameter l = 1.4 and x = 0.15 for the first year. Find the value of x after the third year. 	

Answer Key

1.	383	
2.	3.1%	
3.	1095	
4.	10.53%	
5.	5,497,955	
6.	4354	
7.	11.03	
8.	9.29	
9.	24.6	
10.	18.84	
11.	32.43	
12.	2299.91	
13.	113.41	
14.	20,000	
15.	50,000	
16.	10,000	
17.	20,000	
18.	50,000	
19.	20,000	
20.	0.369	
21.	0.067	
22.	101.19	
23.	0.524	
24.	0.087	
25.	0.056	
26.	0.624	
27.	0.156	
28.	1,680,000,000 tons	
29.	5,000,200,000,000 tons	
30.	0.2284