Resources

Resources

Estimate population size using proportions

Some farmers were monitoring the population of roe deer on their land. First, the farmers marked

92

roe deer. Later, the farmers counted a total of

290

roe deer, of which

29

were marked. To the nearest whole number, what is the best estimate for the roe deer population?

A tilapia fish hatchery selectively releases fish when the populations have increased beyond a certain target level. In order to estimate the current fish population, workers at the hatchery catch

780

fish and mark them with special paint. Then a little while later, they catch

1,200

fish, among which

72

are marked. To the nearest whole number, what is the best estimate for the fish population?

Caden is a bird enthusiast and is trying to estimate the number of hawks living in his region. He traps

23

hawks and tags them. Later, he traps

420

14

of which are tagged. To the nearest whole number, what is the best estimate for the hawk population?

A group of volunteers tagged and released

34

owls as part of a research project. Later, the researchers counted

300

12

of which had tags. To the nearest whole number, what is the best estimate for the owl population?

In order to estimate the number of monkeys living in a certain rain forest, Wayne catches

35

monkeys, marks them, and releases them. Later, Wayne catches

180

monkeys and notes that

15

of them are marked. To the nearest whole number, what is the best estimate for the monkey population?

To monitor the buffalo population, scientists put a special mark on

25

buffalo. Later, they flew over the area and kept track of the buffalo they saw. They counted a total of

920

10

of which were marked. To the nearest whole number, what is the best estimate for the buffalo population?

A tilapia fish hatchery selectively releases fish when the populations have increased beyond a certain target level. In order to estimate the current fish population, workers at the hatchery catch

340

fish and mark them with special paint. Then a little while later, they catch

940

fish, among which

34

are marked. To the nearest whole number, what is the best estimate for the fish population?

For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released

84

robins. A week later, they noted

42

tagged robins out of the

380

robins they counted. To the nearest whole number, what is the best estimate for the robin population?

To gather information about the elk population, scientists marked

42

elk. Later, they flew over the area and counted

360

24

were marked. To the nearest whole number, what is the best estimate for the elk population?

Some researchers wanted to know how many salmon were in a local river. The researchers marked

640

salmon with tags. Later, they captured

450

salmon and found that

16

of them had tags. To the nearest whole number, what is the best estimate for the salmon population?

To determine the jackrabbit population in a wildlife preserve, researchers tagged

67

jackrabbits. Later, they counted

310

jackrabbits. Out of the jackrabbits they counted,

31

had tags. To the nearest whole number, what is the best estimate for the jackrabbit population?

Lee is a biologist who studies hummingbirds. In order to estimate the number of hummingbirds in the area, he catches

79

hummingbirds and tags them. Later, he catches

440

hummingbirds and finds that

44

of them are tagged. To the nearest whole number, what is the best estimate for the hummingbird population?

Britney keeps track of the populations of various creatures near a lake. In order to estimate the dragonfly population, she captures

1,400

dragonflies and marks them with special paint. She releases them, waits a few days, and then captures

620

dragonflies. She notices that

62

of these dragonflies are marked. To the nearest whole number, what is the best estimate for the dragonfly population?

A researcher who was conducting a study caught, tagged, and released

95

opossums. Weeks later, the researcher caught a total of

170

opossums, of which

19

were tagged. To the nearest whole number, what is the best estimate for the opossum population?

An ornithologist who specializes in cockatoos in Australia decides to estimate the cockatoo population in a certain region. To do so, she traps

99

cockatoos and marks them. After releasing the cockatoos and waiting a bit, she traps

210

cockatoos and observes that

27

of them are marked. To the nearest whole number, what is the best estimate for the cockatoo population?

Jerry studies bottlenose dolphins and wants to estimate the population in a certain region. Jerry catches

170

dolphins, marks them, and releases them. Later on, Jerry catches

240

dolphins and observes that

12

of them are marked. To the nearest whole number, what is the best estimate for the dolphin population?

Dr. Jordan studied a bat colony in a cave. He knew that

75

of the bats in the cave had been tagged the week before. Then, he counted

480

20

were tagged. To the nearest whole number, what is the best estimate for the bat population?

Some researchers needed to estimate how many catfish were in a local river, so they marked

280

catfish with tags. Later, the researchers trapped

540

catfish, of which

27

had tags. To the nearest whole number, what is the best estimate for the catfish population?

To estimate the number of moths in a certain region, Wanda traps

77

moths and marks them. She releases these moths and then later catches

320

28

of which are marked. To the nearest whole number, what is the best estimate for the moth population?

Scientists researching amphibians put tags on

36

frogs in a wetland area. Later, the scientists captured

100

frogs, of which

15

had tags. To the nearest whole number, what is the best estimate for the frog population?

Cara is a farmer who has noticed a lot of snails eating her vegetables and wants to estimate the number of snails on her land. She sets up traps and catches

38

snails. She marks the snails, releases them, and replaces the traps. Later, when she returns to the traps, she counts

170

17

of which are marked. To the nearest whole number, what is the best estimate for the snail population?

Scientists tagged

770

pike for a research project about a local lake. Later, they trapped

270

21

had tags. To the nearest whole number, what is the best estimate for the pike population?

Terrence is a scientist who works with the Department of Agriculture. In order to ensure a good harvest, Terrence keeps track of various local caterpillar populations. He catches

750

caterpillars, marks them, and releases them. Then later, he catches

400

12

of which are marked. To the nearest whole number, what is the best estimate for the caterpillar population?

Oliver is monitoring the population of red kangaroos in the deserts of Australia. Oliver catches

55

red kangaroos, tags them, and releases them. A little while later, a helicopter pilot takes an aerial photograph of

320

11

of which are marked. To the nearest whole number, what is the best estimate for the red kangaroo population?

While doing research on a local river, a scientist put tags on

210

rainbow trout. Later, the scientist captured

200

rainbow trout, of which

12

had tags. To the nearest whole number, what is the best estimate for the rainbow trout population?

Recently, frogs have been disappearing from the wild due to a contagious fungus. To monitor the current population in a certain region, Ruth collects

85

frogs, marks them, and releases them. Later, she collects

500

frogs and finds that

17

of them are marked. To the nearest whole number, what is the best estimate for the frog population?

A farmer wanted to estimate how many moles were living on his property, so he marked

39

of them with tags. A few weeks later, the farmer drove around his property and noticed

21

tagged moles out of the

420

moles he counted. To the nearest whole number, what is the best estimate for the mole population?

A town has a population of

8400

1990

. Fifteen years later, its population grew to

12500

. Determine the average annual growth rate of this town's population.

A particular dishwasher uses

4

gallons of water per load. Their advertising claims that hand washing the dishes uses

6

times as much water. According to this estimate, how many gallons of water would it save to wash

215

loads using the dishwasher instead of by hand

Otter Experience Boat Tours counted how many otters were seen on their recent tours.

17

otters were seen on Wednesday,

20

19

29

on Saturday, and

31

\newline

Find the mean number of otters. otters

According to a website where users review their doctors,

116

119

users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's

1

293

patients, about how many patients would recommend Dr. Gutierrez to their friends and family?

\newline

(Round your answer to the nearest whole number.)

Recently, frogs have been disappearing from the wild due to a contagious fungus. To monitor the current population in a certain region, Alan collects

28

frogs, marks them, and releases them. Later, he collects

110

frogs and finds that

11

of them are marked. To the nearest whole number, what is the best estimate for the frog population?

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