Scientists have found the population of insects in a certain area has increased by 12.5% each year since 2020. The initial insect population recorded in 2020 was 450 insects . what is f (10)

Answer 1

To find the insect population in the 10th year, we can use the formula for exponential growth:

f(n) = P(1 + r)^n

Where:
- f(n) is the final population after n years
- P is the initial population (450 insects)
- r is the growth rate (12.5% or 0.125)
- n is the number of years (10 years)

Plugging in the values:
f(10) = 450(1 + 0.125)^10
f(10) = 450(1.125)^10
f(10) = 450(3.66023141)
f(10) = 1647.1041335

Therefore, the predicted insect population in the 10th year would be approximately 1647 insects.