SOLUTION: The population (in millions) of a certain country t years after 1900 is given by the function p(t). There were 450 million in 1900. If p′(t)=4 throughout the time span 1900 to 19

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Question 1135231: The population (in millions) of a certain country t years after 1900 is given by the function p(t). There were 450 million in 1900. If p′(t)=4 throughout the time span 1900 to 1910, what was the population of the country in 1907? (Hint: What was the practical signifigance of p′(t)=4).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+p%28t%29+=+4t+%2B+c+ ( integral of p'(t) )
At +t=0+ and +p+=+450+:
+450+=+4%2A0+%2B+c+
+c+=+450+
------------------------
+p%28t%29+=+4t+%2B+450+
For 1907, +t=7+
+p%287%29+=+4%2A7+%2B+450+
+p%287%29+=+478+
478 million in 1907