21 20- 19 18 17 16 15- 14 13- 123 11 2 4 6 8 10 12 14 16 18 20 22 10+ The per capita consumption of breakfast cereal in the US has the following model that appears above C(t) = - -0.0035t³ +0.113t² 0.349t11.75 pounds, where t is the number of years since 1990. Decide whether the rate of consumption was changing more rapidly in 2002 or 2010. C'(12) = lbs/year C'(20) = The rate was changing more rapidly in lbs/year 20020 2010.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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22+
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12
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The per capita consumption of breakfast cereal in the US has the following model that appears above
C(t) = 0.0035³ +0.113t² - 0.349t + 11.75 pounds, where t is the number of years since 1990.
Decide whether the rate of consumption was changing more rapidly in 2002 or 2010.
lbs/year
C'(12) =
C'(20) =
lbs/year
The rate was changing more rapidly in 20020 2010.
Transcribed Image Text:X 22+ 21+ 20- 18- 19+ 17+ 16+ 12 15+ 11 14- 13+ M 2 4 6 8 10 12 14 16 18 20 22 10+ The per capita consumption of breakfast cereal in the US has the following model that appears above C(t) = 0.0035³ +0.113t² - 0.349t + 11.75 pounds, where t is the number of years since 1990. Decide whether the rate of consumption was changing more rapidly in 2002 or 2010. lbs/year C'(12) = C'(20) = lbs/year The rate was changing more rapidly in 20020 2010.
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