There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
- A)
- 8000 x 1.67 ^ n = f
- B)
- 8000 x 1.67 ^ 6 = X
- 8000 x 21.691961596369 = X
- 173,535.692770952 = X
- C)
- (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
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