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.Write the explicit equation for f (n) that represents the number of llonfish in the bay after in years. Show all necessary math work.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Lionfish:

growth rate: 65%

time = 1 year

amount (1) = 7000

Step 02:

explicit equation:

f(1) = 7000

n = time

r = 65% = 0.65

f(n) = f(1) * r ^ (n - 1)

f(n) = 7000 * (0.65) ^ (n - 1)

`f(n)\text{ = 7000 }\cdot(0.65)^((n-1))`

The answer is:

f(n) = 7000 * (0.65) ^ (n - 1)