Exponential and Logarithmic Function

Question

It is estimated that t years after 1995, the population of a certain country will be P(t) million people where P(t)=(A)e^(0.03)(t) − (B)e^(0.005)(t) for certain constants A and B. The population was 100 million in 1997 and 200 million in 2010. a. Use the given information to find A and B. b. What was the population in 1995? c. What will the population be in 2015?

Answer 1

If you substitute the values given for the t=2 (1997) and t=15 (2010), you will get 2 simultaneous linear equations in the unknown constants A and B.

Then solve this pair of equations and substitute the values for A and B into P(t) to get the answers you need.