A country's population in 1994 was 195 million. In 2002 it was 199 million. Estimate the population in 2016 using exponential growth.

Question

campbell_st · Answer

you need a model like 

$$A = P \times e^{kt}$$

A = the future population, P = initial population, k = growth constant t = time in years

so at t = 0 the population P = 195  

and t= 8, the population is 199

this can be used to find k, the growth constant

$$199 = 195 \times e^{8k}$$

solve for k... 

when you get k use the formula 

$$A = 195 \times e^{kt}$$ using the k value you found and 
t = 12, which is the time between 1994 and 2012

hope it helps