Question - Trout Population Decline Calculation
mathmath problem solutiontrout population declinetrout population calculationtrout population after 5 years
Solution:
The image presents a math problem that involves the function $$ N(t) = 15,000 \times (0.95)^t $$, which represents the number of trout after t years. The question asks what will happen to the trout population five years after they were released into the Kootenai River.To determine the impact on the population after 5 years, you would substitute t = 5 into the function $$ N(t) $$:$$ N(5) = 15,000 \times (0.95)^5 $$Now we calculate $$ (0.95)^5 $$ and then multiply the result by 15,000:$$ (0.95)^5 ≈ 0.7738 $$ (rounded to four decimal places)Then multiply that by 15,000 to see the number of trout:$$ 15,000 \times 0.7738 ≈ 11,607 $$Originally, there were 15,000 trout. After 5 years, there would be approximately 11,607 trout if we use the estimated value.Now to find the change in population:Initial number of trout: 15,000Number of trout after 5 years: 11,607Decrease in trout: 15,000 - 11,607 = 3,393The closest answer to this number is:(B) It will decrease by about 3,200.So the answer is (B) the population will decrease by about 3,200.
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