OXYGEN CONTENT OF A POND—The oxygen content t days after organic waste has been dumped into a pond is given by ?(?) = 100 (?^2 + 10? + 100)/(?^2 + 20? + 100) Percent of its normal level. a. Show that f (0) = 100 and f (10) = 75. b. Us the Intermediate Value Theorem to conclude that the oxygen of the pond must have been at a level of 80% at some time. c. At what time(s) is the oxygen content at the 80% level?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 58E
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OXYGEN CONTENT OF A POND—The oxygen content t days after organic waste
has been dumped into a pond is given by
?(?) = 100 (?^2 + 10? + 100)/(?^2 + 20? + 100)
Percent of its normal level.
a. Show that f (0) = 100 and f (10) = 75.
b. Us the Intermediate Value Theorem to conclude that the oxygen of the pond
must have been at a level of 80% at some time.
c. At what time(s) is the oxygen content at the 80% level?

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