Answer to Question #37103 in Algebra for Sadaam Ahmed

Question

The equation f(t) = 5t / t^2 + 3t + 2 models the bacteria count, in thousands, for a sample of tap water that is left to sit over time, t, in days. The equation g(t) = 15t / t^2 + 9 models the bacteria count, in thousands, for a sample of pond water that is also left to sit over several days. In both models, t > 0. Will the bacteria count for the tap water sample ever exceed the bacteria count for the pond water? Justify your answer.