The doubling time of a population of annual plants is 14 years.Assuming that the initial size of the population is 500 and that the rate of increase remains constant,how large will the population be after 42 years?

Question

Quizplus · Accepted Answer

The formula for exponential growth is:

P(t) = P0 * 2^(t/d)

where:

P(t) = population after t years
P0 = initial population size
d = doubling time in years

Plugging in the given information, we get:

P(t) = 500 * 2^(t/14)

To find the population after 42 years, we plug in t = 42:

P(42) = 500 * 2^(42/14) = 500 * 2^3 = 4,000

Therefore, the population will be 4,000 after 42 years.

The Doubling Time of a Population of Annual Plants Is