Question

HELP WITH PART C
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.

So I know that the equation would be
$f(n) = (f_{n-1} )(r)$
Where f(n) is the number of years but I am confused on how to fill out the rest. Any help would be appreciated. Thank you.

Answer 1

The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.

What is an exponent?

Let 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 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 population

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

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

Learn More about the exponent link is given below.

brainly.com/question/5497425

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