The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the habitat remain after 3 years of conducting your research. What was the initial amount of animals?

Question

Mathematics

Magdalena Moses

Yesterday, 02:21

The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the habitat remain after 3 years of conducting your research. What was the initial amount of animals?

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Vargas · Answer 1

The function:

f (x) = x * 0.965^t

where x is the initial amount and t is the number of the years

80 = x * 0.965^3

80 = x * 0.89632

x = 80 : 0.89632 ≈ 89

Answer:

The initial amount of animals was 89.