Question - Butterfly Population Growth Calculation
Solution:
The given function is $$ f(x) = 2,000(1.055)^x $$, where $$ x $$ represents the number of years, and $$ f(x) $$ represents the population of butterflies.To find the population after 7 years, we substitute $$ x $$ with 7:$$ f(7) = 2,000(1.055)^7 $$Using a calculator, we find:$$ f(7) ≈ 2,000(1.455) $$$$ f(7) ≈ 2,910 $$The closest answer to 2,910 is about 2,900, so the correct answer is:A) about 2,800
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