Question

The Matrix Fishing Company does fishing in Toluca Lake the first year of the company's operation it managed to catch a 190,000 fish due to population decreases the number of fish the company was able to catch decreased by 8% each year how many total fish did the company catch over the first 12 years round to the nearest whole number

Answer 1

Solution

For this case we can model the number of fishes with the following equation:

$A=19000(1-0.08t)$

And for this case we want to find the value for t =12 and replacing we got:

$A=190000\cdot(1-0.08\cdot12)=7600$

And then the number of fishes after 12 years would be 7600

so then they catched 182400