Butterfly Population Growth Calculation
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)^x
So for x = 7,
f(7) = 2,000(1.005)^7
Now calculate the value:
f(7) = 2,000 * (1.005)^7
Using a calculator, raise 1.005 to the 7th power:
(1.005)^7 ≈ 1.0355
Then multiply this result by 2,000:
f(7) ≈ 2,000 * 1.0355
f(7) ≈ 2,071
The closest answer to 2,071 is about 2,100, so the correct choice would be:
B. about 2,100
