In 2010 the population of Madagascar was 213 million It is p

In 2010 the population of Madagascar was 21.3 million. It is projected to reach 42.7 million in 2050. Use this information to find the exponential model for Madagascar\'s population growth.

Solution

We have to use the following formula

Y(t)=y₀e^kt

42.7=21.3 e^40k

taking ln on both sides

ln(42.7/21.3)=40k

k=.0174

Y(t)=21.3e^.0174t