APFIVE Calculating Per Capita Growth Rate
The table provides data for a population over a single time period. Using the formula for the per capita growth rate, $$r = \frac{births - deaths}{N}$$, which of the following correctly calculates $$r$$ and interprets the result?
| Parameter | Value |
|---|---|
| N | 500 |
| Births | 120 |
| Deaths | 70 |
A
A population with $$r = 0.5$$, implying a 50% increase by ignoring the number of deaths.
B
A population with $$r = -0.1$$, suggesting a decline even though net births are positive.
C
A case where $$r$$ is undefined because the births and deaths cancel out, which is not observed here.
D
A population with $$r = 0.1$$, calculated as $$\frac{120 - 70}{500}$$, indicating a 10% growth per time period.
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