Question

On January 1, 2010 Chessville has a population growth. Its population increases 7% each year. On the same day, Checkersville has a population of 70,000 people. Checkersville starts to experience a population decline. Its population decreases 4% each year. During what year will the population of Chessville first exceed that of Checkersville? Show all of your work and explain your steps.

Answer 1

Create a function for each population

Answer 2

what do you mean

Answer 3

You can represent each population as a function.

Answer 4

how?

Answer 5

@Andrew101 Using the formula for exponential growth/decay.

Answer 6

Exponential growth formula is
\[P = P _{0} (1+r)^{t}\]

P and Po are current and initial population, respectively. r is growth rate per year, t is years.