Example Question - population calculation
Here are examples of questions we've helped users solve.
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
Butterfly Population Growth Calculation
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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