1. The problem statement, all variables and given/known data In 2000 the population of a country was estimated to be 8.23 million. In 2010 the population was 9.77 million. Assume that the number of people P(t) in millions at time t (in years since 2000) is modelled by the exponential growth function. P(t) = Aekt Find P(t) giving the two constants in it to 2 significant figures. 2. Relevant equations P(t) = Aekt 3. The attempt at a solution P(0) = 8.23x106 so Ae0k= 8.23x106 P(10) = 9.77x106 so Ae10k= 9.77x106 Divide to eliminate A: Ae0k= 8.23x106 / Ae10k= 9.77x106 = e0k-10k= 8.23x106 / 9.77x106 = e-10 k = 8.23x106 / 9.77x106 (I am not certain that this step is right) -10k = ln 8.23x106 / 9.77x106 k = 0.01917945693 To find A: Ae10k= 9.77x106 Ae10*0.01917945693= 9.77x106 A = 9.77x106 / e10*0.01917945693 = 8064904.714 These values for k and A seem to produce 9.77x106 when 10 (years) is plugged into the function, however I cant seem to produce 8.23x106 at 0 years since 2000 and I cant seem to see why, any help would be much appreciated!