The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025.

(a) Find the exponential growth or decay model y = aebt or y = aeˆ’bt for the population of each country by letting t = 15 correspond to 2015. Use the model to predict the population of each country in 2035.
(b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y = aebt gives the growth rate? Discuss the relationship between the different growth rates andthe magnitude of the constant.

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2015 Country 2025 6.7 7.2 Bulgaria 35.1 Canada 37.6 1367.5 1407.0 China United Kingdom 64.1 67.2 321.4 347.3 United States