A poll commissioned by a politician estimates that t days after he makes a statement denigrating women, the percentage of his constituency (those who support him at the time he made the statement) that still supports him is given by S(t)= 75(t2 -3t+25)/t2+3t+25 The election is 10 days after he made the statement. (i) If the derivative S’(t) may be thought of as an approval rate, derivate the a function for his approval rate. (ii) When was his support at its lowest level? (iii) What was his minimum support level?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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 A poll commissioned by a politician estimates that t days after he makes a statement denigrating women, the percentage of his constituency (those who support him at the time he made the statement) that still supports him is given by S(t)= 75(t2 -3t+25)/t2+3t+25  The election is 10 days after he made the statement.

 (i) If the derivative S’(t) may be thought of as an approval rate, derivate the a function for his approval rate.

(ii) When was his support at its lowest level?

 (iii) What was his minimum support level?

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