Answer: F(t)=2500(.97)t
Explanation:
Hi, to answer this question we have to analyze the information given:
- Initial population = 2500
- Decreasing rate = 3% = 0.03 (decimal form, 3/100= 0.03)
So, the exponential decay function for the population of the town after t years will be:
f (t) = a (1 - r) t
Where:
a = initial population
r = decreasing rate
t = time
Replacing with the values given:
f (t) = 2500 (1 -0.03)t
f(t) =2500 (0.97)t