A city of population 2.0 million is expected to experience a 15% decrease in population every 10 years.

Question

a. What is the 10-year decay factor? What is the yearly decay factor? The yearly decay rate?
b. Use part (a) to create an exponential population model g(t) that gives the population (in millions) after t years.
c. Create an exponential population model h(t) that gives the population (in millions) after t years, assuming a 1.71% continuous yearly decrease.
d. Compare the populations predicted by the two functions after 20 years. What can you conclude?

My work:
decay factor: 1.15
yearly decay: 1.15^12= 5.3503
The yearly decay rate:35.03%