Question 1129528
<br>
A) The population of town A increases by 19% every 13 years.  If a is the starting population, the population after 13 years of growth will be 1.19a:<br>
{{{1.19a = ab^13}}}
{{{1.19 = b^13}}}
{{{b = 1.19^(1/13)}}} = 1.01347 to 5 decimal places.<br>
ANSWER: to 2 decimal places, the annual percent increase in population of town A is 1.35%.<br>
B) The population of town B decreases by 40% every 14 years. If a is the starting population of town B, the population after 14 years will be 0.60a:<br>
{{{0.60a = ab^14}}}
{{{b = 0.60^(1/14)}}} = 0.96417 to 5 decimal places, which is 1-.03583.<br>
ANSWER: to 2 decimal places, the annual change in the population of town B is -3.58%.<br>
C) The population of town C triples every 6 years.  If a is the starting population, the population after 6 years will be 3a:<br>
{{{3a = ab^6}}}
{{{b^6 = 3}}}
{{{b = 3^(1/6)}}} = 1.20093 to 5 decimal places.<br>
ANSWER: to 2 decimal places, the annual percent change in the population of town C is 20.09%