Question: A demographics expert determines that the changing
population, P, of a town over a number of years, t, can be described by the
function P (t) = 6t^4-5t^3+200t+1200.
When will the population of the town be
approximately 175 000?
Answer: P(t)=6t^4-5t^3+200t+1200 a)When will the population of the town be approximately 175 000? Population will be 17500 So, 175000=6t^4-5t^3+200t+1200 or, 6t^4-5t^3+200t=175000-1200 or, 6t^4-5t^3+200t=173800 By solving this eqn we get the value of t=13.2 So, after 13.2 years later the population of the town be approximately 175000 (Ans.) Edit
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