Question

A particular animal population has \(4400\) individuals with annual per capita birth rate of \(0.035\) and the annual per capita death rate of \(0.02\). Net change in the population size in a year will be _ _ _. (in integer)

Hint:

Population growth rate is calculated using: \[ \Delta N=(b-d)N \] where \(b\) is birth rate and \(d\) is death rate.

Answer 1

Correct Answer: 66

Step 1: Write the given data.
Population size:
\[ N=4400 \] Per capita birth rate:
\[ b=0.035 \] Per capita death rate:
\[ d=0.02 \]

Step 2: Recall the formula for net population change.
Net population growth in one year is given by
\[ \Delta N=(b-d)N \]

Step 3: Calculate the net growth rate.
\[ b-d=0.035-0.02 \] \[ =0.015 \]

Step 4: Multiply by total population.
\[ \Delta N=0.015\times 4400 \]

Step 5: Perform the calculation.
\[ \Delta N=66 \]

Step 6: Interpret the result.
Since birth rate is greater than death rate, the population increases by \(66\) individuals in one year.

Step 7: Final conclusion.
Therefore, the net change in population size is
\[ \boxed{66} \]