Question

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 1

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