Question 1, 4.5.1
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The exponential model $\mathrm{A}=634.1 e^{0.028 \mathrm{t}}$ describes the population, $\mathrm{A}$, of a country in millions, $t$ years after 2003 . Use the model to determine the population of the country in 2003.
The population of the country in 2003 was $\square$ million.
Answer
Final Answer: The population of the country in 2003 was \(\boxed{634.1}\) million.
Step 1 ：The exponential model \(A=634.1 e^{0.028 t}\) describes the population, \(A\), of a country in millions, \(t\) years after 2003. Use the model to determine the population of the country in 2003.
Step 2 ：The question asks for the population of the country in 2003. According to the model, \(t\) represents the years after 2003. Therefore, to find the population in 2003, we need to substitute \(t=0\) into the model.
Step 3 ：Substitute \(t = 0\) into the model, we get \(A = 634.1\).
Step 4 ：Final Answer: The population of the country in 2003 was \(\boxed{634.1}\) million.
