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In a population of wolves, the birth rate is 4, the death rate is 3, immigration is 2, and emigration is 3. Calculate the population growth by filling in the formula below.

[tex]\[
\text{Population growth} = (\text{birth rate} + \text{immigration}) - (\text{death rate} + \text{emigration})
\][/tex]

[tex]\[
= (4 + 2) - (3 + 3)
\][/tex]

Since the population growth is [tex]\(0\)[/tex], the population is stable.

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In a population of deer, the birth rate is 5, the death rate is 4, immigration is 8, and emigration is 6. Calculate the population growth by filling in the formula below.

[tex]\[
\text{Population growth} = (\text{birth rate} + \text{immigration}) - (\text{death rate} + \text{emigration})
\][/tex]

[tex]\[
= (5 + 8) - (4 + 6)
\][/tex]

Since the population growth is [tex]\(3\)[/tex], the population is increasing.



Answer :

GinnyAnswer
Let's work through the problem step by step, starting with the population of wolves.

For the wolves:
- Birth rate: 4
- Death rate: 3
- Immigration: 2
- Emigration: 3

The formula to calculate the population growth is:
[tex]\[ \text{Population Growth} = (\text{Birth Rate} - \text{Death Rate}) + (\text{Immigration} - \text{Emigration}) \][/tex]

Filling in the values:
[tex]\[ \text{Population Growth} = (4 - 3) + (2 - 3) \][/tex]

Now, calculate each part:
[tex]\[ 4 - 3 = 1 \][/tex]
[tex]\[ 2 - 3 = -1 \][/tex]

Adding these parts together:
[tex]\[ 1 + (-1) = 0 \][/tex]

So, the population growth for wolves is [tex]\(0\)[/tex].

Since the population growth is [tex]\(0\)[/tex], the population is stable.

Now, let's move on to the population of deer.

For the deer:
- Birth rate: 5
- Death rate: 4
- Immigration: 8
- Emigration: 6

Using the same formula:
[tex]\[ \text{Population Growth} = (\text{Birth Rate} - \text{Death Rate}) + (\text{Immigration} - \text{Emigration}) \][/tex]

Filling in the values:
[tex]\[ \text{Population Growth} = (5 - 4) + (8 - 6) \][/tex]

Now, calculate each part:
[tex]\[ 5 - 4 = 1 \][/tex]
[tex]\[ 8 - 6 = 2 \][/tex]

Adding these parts together:
[tex]\[ 1 + 2 = 3 \][/tex]

So, the population growth for deer is [tex]\(3\)[/tex].

Since the population growth is [tex]\(3\)[/tex], the population is growing.

Summarizing all:
- For wolves:
[tex]\[ 4 - 3 + 2 - 3 = 0 \\ \text{Since the population growth is } 0 \text{, the population is stable.} \][/tex]

- For deer:
[tex]\[ 5 - 4 + 8 - 6 = 3 \\ \text{Since the population growth is } 3 \text{, the population is growing.} \][/tex]

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