Skills Check

image Skills Check

Question 23.1

1. The carrying capacity of a population is the

  1. largest recorded population.
  2. largest supportable population.
  3. change in population.

1.

a

Question 23.2

2. The logistic population model can model not only human or animal populations but also ________.

2.

$1219.89

Question 23.3

3. A population with a total fertility rate of 2 will

  1. double in each generation.
  2. remain exactly the same size from generation to generation.
  3. decrease.

3.

c

Question 23.4

4. China’s population exhibits demographic ___________.

4.

$2543.20

Question 23.5

5. The logistic curve is a model for a population that is growing

  1. linearly.
  2. exponentially.
  3. with a ceiling.

5.

c

Question 23.6

6. U.S. oil production has grown according to a(n) __________ model.

6.

annual percentage rate

Question 23.7

7. Management of a nonrenewable resource can be modeled by

  1. an annuity.
  2. a savings account.
  3. an add-on loan.

7.

c

Question 23.8

8. If we have enough of a resource to last 200 years at the current rate of use, but the rate of use increases by 10% per year, the supply will last __________ years.

8.

19.56%

Question 23.9

9. The static reserve is always ________ the exponential reserve.

  1. greater than
  2. equal to
  3. less than

9.

a

Question 23.10

10. If we have enough of a resource to last 1000 years at the current rate of use, but the rate of use increases by 1% per year, the supply will last ________ years.

10.

18%

Question 23.11

11. If a sample contains 20 grams of carbon-14, whose half-life is 5730 years, in how many years will only 5 grams of carbon-14 remain in the sample?

  1. 4 years
  2. 11,460 years
  3. 22,920 years

11.

a

Question 23.12

12. Plutonium-239 (produced in breeder reactors and used in atomic bombs) has a half-life of approximately 24,200 years. Of 4000 grams of plutonium-239 now (the approximate content of one atomic bomb), in how many years will only 500 grams remain?

12.

5 years

Question 23.13

13. The equilibrium population size is the same as the

  1. carrying capacity.
  2. intersection point of the reproduction curve and the diagonal.
  3. natural increase of the population.

13.

b

Question 23.14

14. The shape of the reproduction curve reflects that a small population has abundant resources and can grow quickly by the curve _______________ steeply at the left.

14.

$135.47

Question 23.15

15. A sustainable-yield harvest is

  1. possible at exactly one size of a population.
  2. not always possible.
  3. possible at various sizes of a population.

15.

c

Question 23.16

16. A cobweb diagram shows the ________ of a population.

16.

$456.33

Question 23.17

17. If the starting population for a reproduction curve is changed, the subsequent population pattern will

  1. eventually return to the same pattern.
  2. always change to a different pattern.
  3. sometimes change to a different pattern.

17.

c

979

Question 23.18

18. Harvesting at an economically optimal level maintains a __________ stock of the population than harvesting the maximum sustainable yield.

18.

1.25 to 1.5

Question 23.19

19. Economic considerations _________ the conservation of a resource.

  1. always work against
  2. never interfere with
  3. always affect in some way

19.

b

Question 23.20

20. The harvest yield that leads to the maximum net profit under sustainable-yield harvesting is always ___________ than the maximum sustainable yield.

20.

interest

Question 23.21

21. A system whose current state depends solely on its previous states is called

  1. a dynamical system.
  2. a stable system.
  3. an optimal system.

21.

a

Question 23.22

22. For the logistic model , a starting population fraction that will immediately lead to 0 population is ____________.

22.

$500

Question 23.23

23. Chaotic behavior appears to be random and is ________ due to chance.

  1. actually not
  2. actually always
  3. sometimes

23.

b

Question 23.24

24. For the logistic model , if the starting population fraction is , the next population fraction is ____________.

24.

higher

Question 23.25

25. Pressing a digit and then repeatedly pressing the [SIN] key is a model of

  1. an iterated function system.
  2. chaos.
  3. randomness.

25.

b

Question 23.26

26. The butterfly effect refers to a feature of chaos called _________________.

26.

adjustable rate mortgage

Question 23.27

27. Mathematical chaos occurs in

  1. heart arrhytmias.
  2. the solar system.
  3. amusement park rides.

27.

a

Question 23.28

28. Biological populations can be at risk of extinction from any of _________, _________, and/or _________.

28.

$13.55 million if you get the first million right away and $12.78 million if you have to wait a year for the first million

Question 23.29

29. Mathematical chaos

  1. happens only in mathematics.
  2. is just another word for random events.
  3. can happen in deterministic systems.

29.

b

Question 23.30

30. The three characteristics of mathematical chaos in a dynamical system are _________, _________, and _________.

30.

actuary