Calculate the population growth for a deer population with the following rates:

- Birth rate: 5
- Death rate: 4
- Immigration: 8
- Emigration: 6

Population growth = (Birth rate - Death rate) + (Immigration - Emigration)

Population growth = (5 - 4) + (8 - 6)

Population growth = 1 + 2

Since the population growth is 3, the population is increasing.



Answer :

To find out the population growth, we first need to understand the factors involved. We will consider births, deaths, immigration, and emigration. The formula for population growth can be given as:

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

Given the values:
- Birth rate = 5
- Death rate = 4
- Immigration = 8
- Emigration = 6

Let's break this down step-by-step:

1. Calculate the net effect of birth and death rates:
[tex]\[ 5 - 4 = 1 \][/tex]

2. Calculate the net effect of immigration and emigration:
[tex]\[ 8 - 6 = 2 \][/tex]

3. Add the results of these two calculations to get the overall population growth:
[tex]\[ 1 + 2 = 3 \][/tex]

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

Now, we need to determine the population status:
- If the population growth is greater than 0, the population is increasing.
- If the population growth is less than 0, the population is decreasing.
- If the population growth is 0, the population is stable.

In this case, the population growth is [tex]\( 3 \)[/tex], which is greater than 0. Therefore, the population is increasing.

Let's fill in the formula with these steps:
[tex]\[ (5 - 4) + (8 - 6) \][/tex]
[tex]\[ 1 + 2 \][/tex]
[tex]\[ = 3 \][/tex]

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

So, the complete step-by-step solution reads:
[tex]\[ (5 - 4) + (8 - 6) = 1 + 2 = 3 \][/tex]
Since the population growth is [tex]\( 3 \)[/tex], the population is increasing.