a population grows exponentially. in 1975 there were exactly 2 million and in 19

Question

a population grows exponentially. in 1975 there were exactly 2 million and in 1990 there were 3.5 million. How many are there in 2017? Round to the nearest thousandth. a population grows exponentially. in 1975 there were exactly 2 million and in 1990 there were 3.5 million. How many are there in 2017? Round to the nearest thousandth. a population grows exponentially. in 1975 there were exactly 2 million and in 1990 there were 3.5 million. How many are there in 2017? Round to the nearest thousandth.

Explanation / Answer

P = P0*e^(kt)

given that

in 1975, t = 0 and P = 2 million

2 = P0*e^(k*0)

P0 = 2

in 1990, t = 15 and P = 3.5

3.5 = 2*e^(k*15)

e^(k*15) = 3.5/2

k = (1/15)*ln (3.5/2) = 0.0373

So, relation between time and population will be

P = 2*e^(0.0373*t)

in 2017, t = 2017 - 1975 = 42 years, population will be

P = 2*e^(0.0373*42)

P = 9.581 millions

Let me know if you have any doubt.

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