The exponential decay function is P(t) = 2500*(1 - 0.035)^t, and the population after 5 years is 2,092.1.
How to write an exponential decay?
A general exponential decay is written as:
P(t) = A*(1 - r)^t
Where:
- A is the initial value, which in this case is A = 2500.
- t is the time in years.
- r is the decay, which is given by the quotient between the decreasing rate and 100%.
r = 3.5%/100% = 0.035
Then our exponential function is:
P(t) = 2500*(1 - 0.035)^t
The population after 5 years is given by replacing t = 5, we will get:
P(5) = 2500*(1 - 0.035)^5 = 2,092.1
If you want to learn more about exponential decays, you can read:
https://brainly.com/question/11464095
