Question

The current population of a threatened animal species is 1.2 million, but it is declining with a half-life of 20 years. How many animals will be left in 25 years? in 55 years?

Answer 1

The number of animals that will be left in 25 years and 55 years respectively are; 504538 and  178381

How to solve the Decay Law?

We are given;

Initial Population; P₀ = 1200000

Half life; t_1/2 = 20 years

The decay law is given as;

P(t) = P₀(¹/₂)^(t/t_1/2)

where t is time in years and p(t) is the population at time t.

Thus;

P(25) = 1200000 * (¹/₂)^(25/20)

P(25) = 504538

P(55) = 1200000 * (¹/₂)^(55/20)

P(55) = 178381

Read more about Decay Law at; https://brainly.com/question/11117468

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