Question - Butterfly Population Growth Calculation

Solution:

To solve the given function for the population of butterflies after 7 years, plug in the value of x = 7 into the function f(x) and calculate the result:f(x) = 2,000(1.005)^xSo for x = 7,f(7) = 2,000(1.005)^7Now calculate the value:f(7) = 2,000 * (1.005)^7Using a calculator, raise 1.005 to the 7th power:(1.005)^7 ≈ 1.0355Then multiply this result by 2,000:f(7) ≈ 2,000 * 1.0355f(7) ≈ 2,071The closest answer to 2,071 is about 2,100, so the correct choice would be:B. about 2,100

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