exponential growth please help 2

Algebra
Tutor: None Selected Time limit: 1 Day

Note: whens solving for k, round to four decimal places.

A country's population in 1995 was 206 million. In 1998 it was 210 million. estimate the population in 2008 using the exponential growth formula. round to the nearst millions.?????
Oct 9th, 2014

Population growth formula is

P=P' *e^rt

Where P and P'are final and initial population and r,t are rate of growth and time.

1995--206 million

1998--210million

Time=3yrs

Rate of growth=?

210=206*e^3r

210/206=e^3r

Log base e(210/206)=3r

0.01923136193=3r

r=0.01923136193/3

=0.00641045397

=0.00641%


Next step is:

1998--210 million

2008--?

P=210*e^0.00641*10

=210*e^0.0641

=210*1.06620

=223.902 million

~=224million

Hence the population in 2008 will be almost 224 million.


Oct 9th, 2014

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