The population of a town 4000 and is decreasing by the rate of 5% per year. Estimate the population of the town after 3 years.
2 answers:
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<h3>Answer:</h3>
- y = -(x -3)² +3 . . . . (agrees with your answer)
- see the attachment for a graph
Factoring the leading -1 from the first two terms, we have ...
... y = -(x² -6x) -6
Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...
... y = -(x² -6x +9) -6 +9
... y = -(x -3)² +3
I've included two pictures showing steps on how to solve. Hopefully this helps more than words.
