The population of the town is 2500 and is decreasing at a rate of 3% per year. Write an exponential decay function for the population of the town after t years.

F (t) = 0.97 (2500) t

F (t) = 2500 (.97) t

F (t) =.97t+2500

F (t) = 2500 (.7) t

Answer: F (t) = 2500 (.97) t

Step-by-step 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