The population of a certain country can be modeled by the equation , where P(t)=40e^0.02t is the population in millions and t is the number of years since 1900. When will the population be 100 million, 200 million, and 400 million? What do you notice about these time periods?

Question

The population of a certain country can be modeled by the equation , where P(t)=40e^0.02t is the population in millions and t is the number of years since 1900.  When will the population be 100 million, 200 million, and 400 million?  What do you notice about these time periods?

freckles · Answer

Replace P(t) with 100
then solve for t
example: 100=40*e^(.02t)   <solve this for t 


Then replace P(t) with 200
then solve for t 


Then replace P(t) with 400
then solve for t