The fish population of Lake Collins is decreasing at a rate of 3% per year. In 2004 there were about 1,300 fish. Write an expone

Question

Savatey

4 days ago

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The fish population of Lake Collins is decreasing at a rate of 3% per year. In 2004 there were about 1,300 fish. Write an expone

ntial decay function to model this situation. Then find the population in 2010.

Mathematics

2 answers:

AnnZ [9K] · Answer 1 · 2026-03-24T07:52:58+03:00

The fish population in Lake Collins is decreasing by 3% each year. Starting with an approximate population of 1,300 in 2004, the subsequent sequence yields 1,300, then the next value subtracting 3% leads to numbers like 1300 and 1261. The exponential function follows this model where y equals population at time t, the initial population, and r is the common ratio across years. The common ratio (r) is calculated leading to the equation workforce yielding the fish count of approximately 1083 after 6 years.

Inessa [8.9K] · Answer 2 · 2026-03-24T07:53:58+03:00

In this scenario, we have a function of the following form: A: initial amount, b: rate of decrease, x: time in years. Plugging in the values results in an exponential decay function suitable for this situation: y = 1300 * (0.97) ^ x. The estimated fish population in 2010 is then calculated to be approximately 1083.