A certain population has a yearly per capita growth rate of 2 . 6 % , and the initial value is 3 million. Exercise (
A certain population has a yearly per capita growth rate of and the initial value is million.
Exercise a
Use a formula to express the population as an exponential function.
Step
A percentage increase of as a decimal corresponds to a growth factor of A growth rate of as a decimal is So the yearly growth factor for the function is
J
Let be the population in millions and be the time in years. Since initially the population is million, the exponential function is
SKIP YOU CANNOT COME BACK
Exercise b
Express the population after years using functional notation, and then calculate that vlue
