a country's population in 1991 was 48 million. in 2002 it was 51 million. estimate the population in 2008 using the exponential growth formula. round to nearest million.

Using exponential growth, we get P1=P0*e^rt, where P1 is the result population, P0 is the initial population, r is the rate, and t is time. So:
51=48*e^11r
1.0625=e^11r
ln 1.0625=ln e^11r=11r ln e=11r
r=ln 1.0625/11=0.0055
Then
51*e^0.00551132925603953114369146654913*(2008-2002)=51*1.0336207977813425465939939376231=52.71466 million as the population
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The answer would be (c)