Question

The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?

926 bass
500 bass
4,500 bass
1,000 bass
3,000 bass

Answer 1

To find the population of largemouth bass in 16 years, we can use the formula for exponential decay. By plugging in the values for the initial population, rate of decrease, and number of years, we can calculate the final population. In this case, the population of largemouth bass will be approximately 1506 in 16 years.

Step-by-step explanation:

To find the population of largemouth bass in 16 years, we can use the formula for exponential decay: P = P0 * (1 - r)t, where P is the final population, P0 is the initial population, r is the rate of decrease (in decimal form), and t is the number of years. In this case, the initial population is 5000, the rate of decrease is 10% per year (0.1 in decimal form), and the number of years is 16.

Using the formula, P = 5000 * (1 - 0.1)16, we can calculate the population in 16 years.

P = 5000 * (0.9)16

P ≈ 5000 * 0.3012

P ≈ 1506

Therefore, the population of largemouth bass in 16 years will be approximately 1506.