A poll commissioned by a politician estimates that t days after he makes a statement denegrating 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  (iii) What was his minimum support level? (iv) Was the approval rate positive or negative on the date of the election?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 1E
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2) A poll commissioned by a politician estimates that t days after he makes a statement denegrating 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 

(iii) What was his minimum support level?
(iv) Was the approval rate positive or negative on the date of the election? 

 

Step 3
75(12-3+25)
243+25
Given :S
(+3425) (75(-325))-75(12-3425) (+3e25)
(1243425)
(12+3425)(150-225)-(750-23+1875)(2+3)
(434425)
4s0(22-25)
(1243+25)
Step 4
His support is at lowest level when S'(1) = 0 (minima) or
450(12-25)
= 0
(1243++25)
= 450 (1 - 25) = 0
= ? - 25 = 0
>1 = 5,-5
As day should be positive,
=1 = 5 days.
For minimum support level check S"(5) > 0
2 (75(?-3423)
() = #0
*()-
1243+25
900(-'+75++75)
(12434+25)
S"
%3!
900(-sy+75x5+75)
I80
S"
(s7+3x5+25)
169
So, 1 = 5 will give lowest support.
Question 2 reference (Politician question)
Transcribed Image Text:Step 3 75(12-3+25) 243+25 Given :S (+3425) (75(-325))-75(12-3425) (+3e25) (1243425) (12+3425)(150-225)-(750-23+1875)(2+3) (434425) 4s0(22-25) (1243+25) Step 4 His support is at lowest level when S'(1) = 0 (minima) or 450(12-25) = 0 (1243++25) = 450 (1 - 25) = 0 = ? - 25 = 0 >1 = 5,-5 As day should be positive, =1 = 5 days. For minimum support level check S"(5) > 0 2 (75(?-3423) () = #0 *()- 1243+25 900(-'+75++75) (12434+25) S" %3! 900(-sy+75x5+75) I80 S" (s7+3x5+25) 169 So, 1 = 5 will give lowest support. Question 2 reference (Politician question)
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