Tuesday

January 27, 2015

January 27, 2015

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.

**Answer this Question**

**Related Questions**

math - The population of a small town is modelled by the function p(t)= 20(4t+3...

MATH - 4. The population of a small town is modelled by the function p(t)= 20(4t...

Advance Functions - The population of a small town is modeled by the function p(...

Please Help! Quadratic Eqautions - The population of a town P(t)is modelled by ...

math - Suppose that the population of a town is described by P=0.16t^2=7.2t=100...

math - Suppose that the population of a town is described by P=0.16t^2+7.2t+100...

Math - Derivative of a polynomial function - The population, p in thousands of ...

Ms. Sue can you answer this please - Damon had answer, but i just want to see if...

Please Help! Quadratic Eqautions - The population of a town P(t)is modelled by ...

Math - The population, P (in thousands), of a town can be modeled by P= 2|t-6|+4...