A country's population in 1992 was 50 million. In 2002 it was 53 million. Estimate the population in 2010 using the exponential growth formula. Round your answer to the nearest million.

Question

anonymous · Answer

you function will look like 
$$A=50e^{rt}$$
and you know if 
$$t=8$$
then 
$$A=53$$
so write 
$$53=50e^{3r}$$

and solve for r

anonymous · Answer

$$50e^{3r}=53$$
$$e^{3r}=\frac{53}{50}$$
$$3r=ln({\frac{53}{50}})$$
$$r=\frac{ln(\frac{53}{50})}{3}$$

amistre64 · Answer

50 * (e^((1 / (2002 - 1992)) * ln(53 / 50) * (2010 - 1992))) = 55.5290907

anonymous · Answer

CORRECT!