SOLUTION: 3. The table shows the populations (in millions) of five countries in 2000 and the projected populations (in millions) for the year 2015. Let t = 0 correspond to 2000. Find the ex
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Question 1161404: 3. The table shows the populations (in millions) of five countries in 2000 and the projected populations (in millions) for the year 2015. Let t = 0 correspond to 2000. Find the exponential growth or decay model for each country using Desmos.
Use each model to predict the population of each country in 2030. To determine the regression equation, type the data in the table for a country in the first entry line (t = 0 corresponds to the year 2000); then, in the second entry line, type the equation y1 aebx1.
Country
2000
2015
Find the Exponential Growth or Decay Model
Find the Population in 2030
Bulgaria
2000 = 7.8
2015 = 6.9
Canada
2002 = 31.1
2015 = 35.1
China
2000 = 1268.9
2015 = 1393.4
United Kingdom
2000 = 59.5
2015 = 62.2
United States
2000 = 282.2
2015 = 325.5
It is evident that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y = aebt is determined by these different growth rates? Discuss the relationship between the different growth rates and the magnitude of the constant.
Answer:
While the population of China is increasing, the population of Bulgaria is decreasing. What constant in the equation y = aebt reflects this difference? Explain.
Answer:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
establishes the initial condition, i.e. the population at time zero. 
is the growth or decay rate. If 
, it is a growth rate, if 
it is a decay rate.
John
My calculator said it, I believe it, that settles it
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