Posted by **FUNCTIONS** on Monday, July 8, 2013 at 7:09pm.

4. The population of a small town is modelled by the function

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 -
**Henry **, Wednesday, July 10, 2013 at 8:00pm
P(t) = 20(4t+3)/(2t+5)

a. Population in 1990: Let t =0. Solve

for P and get 12,000.

Population in 2000: Let t = 10.

P = 34,400.

Population in 2010: Let t = 20.

P=36,889. Therefore the population is

growing.

b. Replace P with 50 and solve for t.

You should get -9.5 years. The time

cannot be negative. Therefore, the

population cannot reach 50,000.

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