5f 1²+ 3+ + 2 thousands, for a sample of tap water that is left to sit over time, r, in The equation f(t) = 15t days. The equation g(z) = +9 models the bacteria count, in models the bacteria count, in thousands, for a sample of pond water that is also left to sit over several days. In both models, > 0. Will the bacteria count for the tap water sample ever exceed the bacteria count for the pond water? Justify your answet.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please use factor table Answer key says The only values that make the expression greater than 0 are negative. Because the values of t have to be positive, the bacteria count in the tap water will never be greater than that of the pond water.
5F
x² + 3+ + 2
thousands, for a sample of tap water that is left to sit over time, r, in
9. The equation f(t)
=
15t
+9
models the bacteria count, in
days. The equation g(z)
models the bacteria count, in
thousands, for a sample of pond water that is also left to sit over
several days. In both models, > 0. Will the bacteria count for the
tap water sample ever exceed the bacteria count for the pond water?
Justify your answer.
Transcribed Image Text:5F x² + 3+ + 2 thousands, for a sample of tap water that is left to sit over time, r, in 9. The equation f(t) = 15t +9 models the bacteria count, in days. The equation g(z) models the bacteria count, in thousands, for a sample of pond water that is also left to sit over several days. In both models, > 0. Will the bacteria count for the tap water sample ever exceed the bacteria count for the pond water? Justify your answer.
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