An invasive species of rodent is spreading across the south. The initial population was estimated at 400 individuals in 2010, but the population has been growing by 58% every year. How many of these rodents can we expect by the year 2025 if the rate they are spreading remains the same?

Question

Mathematics

Hailie Tate

2 June, 05:00

An invasive species of rodent is spreading across the south. The initial population was estimated at 400 individuals in 2010, but the population has been growing by 58% every year. How many of these rodents can we expect by the year 2025 if the rate they are spreading remains the same?

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Samuel Carney · Answer 1

P = i (1 + r) ^t, where P is the amount of population to expect, i is the initial population number, r is the rate of increase, and t is time in years. P = 400 (1 +.58) ^15. - - - > P = 400 (1.58) ^15 = 381, 870.6633, but you can't have half of an animal, so you round it up to 381, 871