Question

The population of a small town is modeled 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. The town will need its own transit system if the population exceeds 50,000. Will the town's population ever exceed 50,000? Explain.

Answer 1

as t gets very large p(t)---> 20(4/2)
or 40,000