Question

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 a: write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. show all necessary math work. (4 points)

part b: how many lionfish will be in the bay after 6 years? round to the nearest whole number and show all necessary math work. (3 points)

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. (3 points)

need answer asap

Answer 1

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.

What is an exponent?

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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