Wednesday

August 27, 2014

August 27, 2014

Posted by **FUNCTIONS** on Saturday, July 6, 2013 at 11:09pm.

p(t)= 20(4t+3)/2t+5

, where P(t) is the population, in thousands, and t is time, in years, since the start of 1990.

a) Is the population currently increasing or decreasing? Justify your answer.

b) The town will need its own transit system if the population exceeds

50 000. Will the town’s population ever exceed 50 000? Explain.

- MATH -
**Steve**, Sunday, July 7, 2013 at 5:00ama little long division shows that

p(t) = 40 - 140/(2t+5)

As t increases, a smaller and smaller amount is subtracted from 40, so for all t>0, p(t) is increasing.

But, no matter how big t gets, p(t) < 40, so it indicates that the population will never exceed 50,000.

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