The exponential models describe the population of the indicated country, A, in m

Question

The exponential models describe the population of the indicated country, A, in millions, t years after 2006. Which country has the greatest growth rate? By what percentage is the population of that country increasing each year? Country 1: A= 126.4e^0.001t Country 2: A= 1091.5e^0.016t Country 3: A= 143.6 e^-0.005t Country 4: A= 27.6 e^0.025t The exponential models describe the population of the indicated country, A, in millions, t years after 2006. Which country has the greatest growth rate? By what percentage is the population of that country increasing each year? Country 1: A= 126.4e^0.001t Country 2: A= 1091.5e^0.016t Country 3: A= 143.6 e^-0.005t Country 4: A= 27.6 e^0.025t Country 1: A= 126.4e^0.001t Country 2: A= 1091.5e^0.016t Country 3: A= 143.6 e^-0.005t Country 4: A= 27.6 e^0.025t

Explanation / Answer

A = A0 e^rt

where r is the growth rate

for country 4 growth rate is .025

to convert it into percent multiply by 100 = .025*100 = 2.5%

country 4 has greatest growth rate since it is increasing each year by 2.5%

we discard negative value 143 e^-.005t of country 3 since its not growth rate its decay rate

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