The number of lionfish after 6 years will be 85,609. The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
lionfish are considered an invasive species, with an annual growth rate of 65%.
Then the equation will be
f(n) = P(1.65)ⁿ
P = initial polulation
A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
7000 = P(1.65)
P = 4242.42
Then the equation will be
f(n) = 4242.42(1.65)ⁿ
The number of lionfish after 6 years will be
f(n) = 4242.42(1.65)⁶
f(n) = 85608.58
f(n) ≅ 85,609
If scientists remove 1,300 fish per year from the bay after the first year.
Then the recursive equation for f(n) will be
f(n) = 4242.42(1.65)ⁿ - 1300n
More about the exponent link is given below.
brainly.com/question/5497425
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