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 and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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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