The exponential models describe the population of the indicated country, A, in millions, t years after 2006. a. Which country has the greatest growth rate? b. By what percentage is the population of that country increasing each year? Country 1: Upper A equals 145.9 e Superscript negative 0.003 t Country 2: Upper A equals 1097.7 e Superscript 0.016 t Country 3: Upper A equals 28.6 e Superscript 0.022 t Country 4: Upper A equals 130.2 e Superscript 0.005 t

a) Country 3

b) 2.2%

Step-by-step explanation:

Given

Country 1:  A = 145.9*e∧(-0.003*t)

Country 2:  A = 1097.7*e∧(0.016*t )

Country 3:  A = 28.6*e∧(0.022*t)  

Country 4: A = 130.2*e∧(0.005*t)

a) Country 3 has the highest growth rate, as it has the largest exponent in its growth function.

b) A(t+1)/A(t) is the ratio of one year's population to the previous year's. For Country 3, this is

A(t+1)/A(t) = 28.6*e∧(0.022*(t+1))/28.6*e∧(0.022*t) = e∧(0.022) = 1.022  to 3 decimal places.

Thus, Country 3's population is increasing by 2.2% each year.

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your answer would be 10x - 1