Assume that A(p) gives the consumer approval percentage as a function of p. 1. Estimate A'(3500). Is this likely to be an overestimate or an underestimate? Why? 2. Interpret your answer to Problem 1 in real terms. What does your estimate of A' (3500) tell you? 3. What are the units of A'(p)?

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 67E
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A company does a study on the effect of production valuep of an advertisement on its
consumer approval rating A. After interviewing eight focus groups, they come up with
the following data:
Production Value
In Dollars
1000
Consumer Approval
Percent
32
2000
33
3000
46
3500
55
3600
61
3800
65
4000
69
5000
70
Assume that 4(p) gives the consumer approval percentage as a function of p.
Transcribed Image Text:A company does a study on the effect of production valuep of an advertisement on its consumer approval rating A. After interviewing eight focus groups, they come up with the following data: Production Value In Dollars 1000 Consumer Approval Percent 32 2000 33 3000 46 3500 55 3600 61 3800 65 4000 69 5000 70 Assume that 4(p) gives the consumer approval percentage as a function of p.
Assume that A(p) gives the consumer approval percentage as a function of p.
1. Estimate A' (3500). Is this likely to be an overestimate or an underestimate?
Why?
2. Interpret your answer to Problem 1 in real terms. What does your estimate of
A'(3500) tell you?
your
3. What are the units of A (p)?
4. Estimate A (3550). Is your estimate better or worse than your estimate of
A'(3500)? Why?
Transcribed Image Text:Assume that A(p) gives the consumer approval percentage as a function of p. 1. Estimate A' (3500). Is this likely to be an overestimate or an underestimate? Why? 2. Interpret your answer to Problem 1 in real terms. What does your estimate of A'(3500) tell you? your 3. What are the units of A (p)? 4. Estimate A (3550). Is your estimate better or worse than your estimate of A'(3500)? Why?
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