answer the following questions. show your work in the space provided and grid-in your answer in the grids provided on the separate answer sheet.
1. if 300 blue jays are found in a 20 hectare plot, what is the density in blue jays/hectare in that plot? round to the nearest whole number.
2. if 3400 maple trees are counted on a 3km x 4km rectangular patch of land, what is the density of maple trees per square kilometer? round to the nearest tenth.
3. suppose the population density of a sample of deer is 50 per square kilometer. assuming that the population is uniformly distributed what would the population size be if the deer encompassed an area that was 20km x 20km? round to the nearest whole number.
4. there are 252 deer in a population. there is no net immigration or emigration. if 47 deer die and 32 deer are born in one month, what is the population size at the end of the month? round to the nearest whole number.
5. in a population of 600 squirrels, the per capita birth rate in a particular period is 0.06 and the per capita death rate is 0.12.
a. what is the per capita growth rate of the population? round to the nearest hundredth.
b. what is the actual number of squirrels that die during this particular period? round to the nearest whole number.
c. what is the actual number of squirrels that are born during this period? round to the nearest whole number.
6. in a population of 750 fish, 25 die on a particular day while 12 were born.
a. what is the per capita death rate for the day? round to the nearest thousandth.
b. what is the per capita birth rate for the day? round to the nearest thousandth.
c. what is the per capita rate of increase for the day? round to the nearest thousandth.
7. in a population of 125 foxes, 10 die on a particular day and 22 were born on that day.
a. what is the per capita death rate for the day? round to the nearest hundredth.
b. what is the per capita birth rate for the day? round to the nearest thousandth.
c. what is the per capita rate of increase for the day? round to the nearest thousandth.

Question

answer the following questions. show your work in the space provided and grid-in your answer in the grids provided on the separate answer sheet.
1. if 300 blue jays are found in a 20 hectare plot, what is the density in blue jays/hectare in that plot? round to the nearest whole number.
2. if 3400 maple trees are counted on a 3km x 4km rectangular patch of land, what is the density of maple trees per square kilometer? round to the nearest tenth.
3. suppose the population density of a sample of deer is 50 per square kilometer. assuming that the population is uniformly distributed what would the population size be if the deer encompassed an area that was 20km x 20km? round to the nearest whole number.
4. there are 252 deer in a population. there is no net immigration or emigration. if 47 deer die and 32 deer are born in one month, what is the population size at the end of the month? round to the nearest whole number.
5. in a population of 600 squirrels, the per capita birth rate in a particular period is 0.06 and the per capita death rate is 0.12.
  a. what is the per capita growth rate of the population? round to the nearest hundredth.
  b. what is the actual number of squirrels that die during this particular period? round to the nearest whole number.
  c. what is the actual number of squirrels that are born during this period? round to the nearest whole number.
6. in a population of 750 fish, 25 die on a particular day while 12 were born.
  a. what is the per capita death rate for the day? round to the nearest thousandth.
  b. what is the per capita birth rate for the day? round to the nearest thousandth.
  c. what is the per capita rate of increase for the day? round to the nearest thousandth.
7. in a population of 125 foxes, 10 die on a particular day and 22 were born on that day.
  a. what is the per capita death rate for the day? round to the nearest hundredth.
  b. what is the per capita birth rate for the day? round to the nearest thousandth.
  c. what is the per capita rate of increase for the day? round to the nearest thousandth.

Accepted Answer

### Question 1
# Explanation:
## Step1: Recall density formula
Density $= \frac{	ext{Number of individuals}}{	ext{Area}}$. Here, number of blue jays is 300, area is 20 hectares.
$	ext{Density} = \frac{300}{20}$
## Step2: Calculate the value
$\frac{300}{20} = 15$
# Answer:
15

### Question 2
# Explanation:
## Step1: Find the area of the land
The land is a rectangle with length 3 km and width 4 km. Area of rectangle $= 	ext{length} 	imes 	ext{width} = 3 	imes 4 = 12$ square kilometers.
## Step2: Use density formula
Density $= \frac{	ext{Number of trees}}{	ext{Area}} = \frac{3400}{12}$
## Step3: Calculate and round
$\frac{3400}{12} \approx 283.3$ (rounded to the nearest tenth)
# Answer:
283.3

### Question 3
# Explanation:
## Step1: Find the area of the region
The area is a square with side 20 km. Area $= 20 	imes 20 = 400$ square kilometers.
## Step2: Use population formula (Population = Density × Area)
Population $= 50 	imes 400$
## Step3: Calculate the value
$50 	imes 400 = 20000$
# Answer:
20000

### Question 4
# Explanation:
## Step1: Calculate net change in population
Number of deaths: 47, Number of births: 32. Net change $= 	ext{Births} - 	ext{Deaths} = 32 - 47 = -15$
## Step2: Find new population
Initial population: 252. New population $= 252 + (-15) = 252 - 15$
## Step3: Calculate the value
$252 - 15 = 237$
# Answer:
237

### Question 5a
# Explanation:
## Step1: Recall per capita growth rate formula
Per capita growth rate ($r$) $= 	ext{Per capita birth rate} - 	ext{Per capita death rate}$
Given birth rate ($b$) = 0.06, death rate ($d$) = 0.12
## Step2: Calculate $r$
$r = 0.06 - 0.12$
## Step3: Get the value
$r = -0.06$ (rounded to the nearest hundredth)
# Answer:
-0.06

### Question 5b
# Explanation:
## Step1: Recall number of deaths formula
Number of deaths $= 	ext{Per capita death rate} 	imes 	ext{Population size}$
Population size = 600, death rate = 0.12
## Step2: Calculate number of deaths
Number of deaths $= 0.12 	imes 600$
## Step3: Get the value
$0.12 	imes 600 = 72$
# Answer:
72

### Question 5c
# Explanation:
## Step1: Recall number of births formula
Number of births $= 	ext{Per capita birth rate} 	imes 	ext{Population size}$
Population size = 600, birth rate = 0.06
## Step2: Calculate number of births
Number of births $= 0.06 	imes 600$
## Step3: Get the value
$0.06 	imes 600 = 36$
# Answer:
36

### Question 6a
# Explanation:
## Step1: Recall per capita death rate formula
Per capita death rate $= \frac{	ext{Number of deaths}}{	ext{Population size}}$
Number of deaths = 25, population size = 750
## Step2: Calculate the rate
Per capita death rate $= \frac{25}{750}$
## Step3: Simplify and round
$\frac{25}{750} \approx 0.033$ (rounded to the nearest thousandth)
# Answer:
0.033

### Question 6b
# Explanation:
## Step1: Recall per capita birth rate formula
Per capita birth rate $= \frac{	ext{Number of births}}{	ext{Population size}}$
Number of births = 12, population size = 750
## Step2: Calculate the rate
Per capita birth rate $= \frac{12}{750}$
## Step3: Simplify and round
$\frac{12}{750} = 0.016$ (rounded to the nearest thousandth)
# Answer:
0.016

### Question 6c
# Explanation:
## Step1: Recall per capita rate of increase formula
Per capita rate of increase $= 	ext{Per capita birth rate} - 	ext{Per capita death rate}$
From 6a: death rate ≈ 0.033, from 6b: birth rate = 0.016
## Step2: Calculate the rate
Per capita rate of increase $= 0.016 - 0.033$
## Step3: Get the value
$0.016 - 0.033 = -0.017$ (rounded to the nearest thousandth)
# Answer:
-0.017

### Question 7a
# Explanation:
## Step1: Recall per capita death rate formula
Per capita death rate $= \frac{	ext{Number of deaths}}{	ext{Population size}}$
Number of deaths = 10, population size = 125
## Step2: Calculate the rate
Per capita death rate $= \frac{10}{125}$
## Step3: Simplify and round
$\frac{10}{125} = 0.08$ (rounded to the nearest hundredth)
# Answer:
0.08

### Question 7b
# Explanation:
## Step1: Recall per capita birth rate formula
Per capita birth rate $= \frac{	ext{Number of births}}{	ext{Population size}}$
Number of births = 22, population size = 125
## Step2: Calculate the rate
Per capita birth rate $= \frac{22}{125}$
## Step3: Simplify and round
$\frac{22}{125} = 0.176$ (rounded to the nearest thousandth)
# Answer:
0.176

### Question 7c
# Explanation:
## Step1: Recall per capita rate of increase formula
Per capita rate of increase $= 	ext{Per capita birth rate} - 	ext{Per capita death rate}$
From 7a: death rate = 0.08, from 7b: birth rate = 0.176
## Step2: Calculate the rate
Per capita rate of increase $= 0.176 - 0.08$
## Step3: Get the value
$0.176 - 0.08 = 0.096$ (rounded to the nearest thousandth)
# Answer:
0.096

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QUESTION IMAGE

Question

Explanation:

Question 1

Step1: Recall density formula

Step2: Calculate the value

Step1: Find the area of the land

Step2: Use density formula

Step3: Calculate and round

Step1: Find the area of the region

Step2: Use population formula (Population = Density × Area)

Step3: Calculate the value

Answer:

Question 2