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In 1980, the population of alligators in a particular region was estimated to be 1200. In 2004, the population had grown to an estimated 7000. Using the Malthusian law for population growth, estimate the time.

A. 6 years
B. 8 years
C. 12 years
D. 16 years

Answer :

Final answer:

The correct answer is (d) ( 16 ) years. The Malthusian law for population growth was used to estimate the time it took for the alligator population to grow in the given scenario, resulting in approximately 16 years.

Explanation:

The correct answer is (d) ( 16 ) years. Exponential growth: Given the initial and final populations of alligators in the region, we can estimate the time using the Malthusian law for population growth. Formula: Nt = No * e^(rt), where Nt is the final population, No is the initial population, e is the base of natural logarithms, r is the growth rate, and t is the time. Calculation: By substituting the values (Nt = 7000, No = 1200) into the formula and solving for t, we find that the estimated time is approximately 16 years.

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