A butterfly population is decreasing at a rate of 0.82% per year. There are currently about 100,000 butterflies in the population. How many butterflies will there be in the population in 250 years?

12,765

Step-by-step explanation:

The exponential formula for the population can be written as ...

population = (initial population) (1 - decay rate) ^t

where t is in years, and the decay rate is the loss per year.

The given numbers make this ...

population = 100,000 (0.9918^t)

In 250 years, the population will be about ...

population = 100,000 (0.9918^250) ≈ 12,765.15

There will be about 12,765 butterflies in 250 years.