SOLUTION: MAT 145: Topics In Contemporary Math 17: Exponential Growth 3) The population of Formics (an alien, ant-like species) grows by 13% per day after they invaded Earth

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Question 1193187: MAT 145: Topics In Contemporary Math

17: Exponential Growth
3) The population of Formics (an alien, ant-like species) grows by 13% per day after they
invaded Earth. If the initial invading force included 300 Formics, how many would there
be after 11 days?
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39630) About Me  (Show Source):
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Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The exponential population function can be written as
P(t) = 300*(1.13)^t

The 300 is the initial population
The 1.13 represents the 13% increase per day

Plug in t = 11
P(t) = 300*(1.13)^t
P(11) = 300*(1.13)^11
P(11) = 1150.75834518363
P(11) = 1151

Answer: Approximately 1151