SOLUTION: The population of a City t years after 2000 is represented by the quadratic equation 100t^2+300t+50000. How did the city's population change from 2000 to 2012?

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Question 1092430: The population of a City t years after 2000 is represented by the quadratic equation 100t^2+300t+50000. How did the city's population change from 2000 to 2012?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+100t%5E2+%2B+300t+%2B+50000+
= population +t+ yrs after 2000
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When the year is 2000, +t=0+
+2000+%2B+t+=+2000+%2B+0+
Plug +t=0+ into equation
+100%2A0%5E2+%2B+300%2A0+%2B+50000+=+50000+
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+2000+%2B+t+=+2012+
+t+=+12+
+100%2A12%5E2+%2B+300%2A12+%2B+50000+
+100%2A144+%2B+3600+%2B+50000+
+14400+%2B+3600+%2B+50000+=+68000+
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the population change is:
+68000-+50000+=+18000+