Calculating Per Capita Growth Rate

Question

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    |

Accepted Answer

A population with $$r = 0.1$$, calculated as $$\frac{120 - 70}{500}$$, indicating a 10% growth per time period.

Answer

A case where $$r$$ is undefined because the births and deaths cancel out, which is not observed here.

Answer

A population with $$r = 0.5$$, implying a 50% increase by ignoring the number of deaths.

Answer

A population with $$r = -0.1$$, suggesting a decline even though net births are positive.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	rachelc1108	1	1	0m 00s	100
#2	jess.pradhan	1	1	0m 02s	98
#3	angelarosechavez	1	1	0m 14s	86
#4	deliwray000	1	1	0m 48s	52
#5	Peter.faletra	1	3	1m 26s	-6
#6	meganchoi2008	1	1	2m 28s	-48

Calculating Per Capita Growth Rate

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