The population of Smallville is 27,000. The population is decreasing by 33% per year. What is the growth factor?

Question

I dont know the answer to this dumb question and im stressing and need help please

Answer 1

This is an example of exponential DECAY, not of growth. At the end of each year, you are left with 67% of the population at the start of the year, which is 0.67 times the population at the start of the year. The exponential decay law for this problem is

P(t) = P₀ (0.67)^t

P₀ = initial population = 27000

t = number of years elapsed from when the population was 27000

P(t) = 27000 (0.67)^t