Between 1970 and 2000, the population of Grand Traverse County in Michigan grew from 39,175 to 77,654.
a. Find the percent increase over the 30-year period.
b. What do you think the annual growth rate was during this period?
c. Check your answer to 14b by using a recursive formula. Do you get 77,654 people after 30 years? Explain why your recursive formula may not work.
d. Use guess-and-check to find a growth rate, to the nearest 0.1% (or 0.001), that comes closest to producing the 30-year growth experienced.
e. Use your answer to 14d to estimate the population in 1985. How does this compare with the average of the populations of 1970 and 2000? Why is that?