SOLUTION: If the population in India was estimated to be 574,220,000 in 1974 and 746,388,000 in 1984 t=0 in 1974 t=10 in 1984. the exponential growth function P(t)=P0e^kt, find the value o

Question 32884This question is from textbook Algebra 2
: If the population in India was estimated to be 574,220,000 in 1974 and 746,388,000 in 1984 t=0 in 1974 t=10 in 1984.
the exponential growth function P(t)=P0e^kt, find the value of k. The write the function for the population as a function of time t. This question is from textbook Algebra 2

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
P(10)= P(0)e^(10k)
e^(10k)= P(10)/P(0)= 1.2998...
Take the natural log of both sides to get:
10k = 0.2622...
k=0.02622....
P(t)=P(0)e^(0.026...t)
Cheers,
Stan H.

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