In an appropriate environment, guppies reproduce at an astounding rate. A population of breeding guppies quadruples every month. How many guppies will there be after 6 months if the beginning population is only 6 guppies?

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16-02-2017
Mathematics

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In an appropriate environment, guppies reproduce at an astounding rate. A population of breeding guppies quadruples every month. How many guppies will there be after 6 months if the beginning population is only 6 guppies?

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JcAlmighty JcAlmighty · Answer 1 · 2017-02-23T13:13:10+01:00

JcAlmighty JcAlmighty

23-02-2017

The answer is 24,576.

P(x) = P(0) * nˣ
P(x) - the final population after period x
P(0) - the initial population
n - the growth factor in decimal
x - period of time

P(6) = ?
P(0) = 6
n = 4
x = 6 months

P(6) = 6 * 4⁶
P(6) = 6 * 4096
P(6) = 24,567

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