29.0 28.5 27.6 28.3 29.2 Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United States for the period 2007-20 Per capita bottled water sales in the U.S. (gallons) 34.6 32.0 30.8 2007 2008 2009 2010 2011 2012 2013 2014 The function R(t) = 0.25t2 - t + 29 gallons (0 sts 7) gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t). R'(t) = According to the model, how fast were per capita sales of bottled water changing in 2010? Per capita sales of bottled water were increasing at a rate of gallons per year.

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Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United States for the period 2007-2014.t
Per capita bottled water sales in the U.S.
(gallons)
34.6
32.0
30.8
29.0 28.5
27.6
28.3 29.2
2007 2008 2009 2010 2011 2012 2013 2014
The function
R(t) = 0.25t?
t + 29 gallons
(0 <t s 7)
gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t).
R'(t)
According to the model, how fast were per capita sales of bottled water changing in 2010?
Per capita sales of bottled water were increasing at a rate of
gallons per year.
Transcribed Image Text:Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United States for the period 2007-2014.t Per capita bottled water sales in the U.S. (gallons) 34.6 32.0 30.8 29.0 28.5 27.6 28.3 29.2 2007 2008 2009 2010 2011 2012 2013 2014 The function R(t) = 0.25t? t + 29 gallons (0 <t s 7) gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t). R'(t) According to the model, how fast were per capita sales of bottled water changing in 2010? Per capita sales of bottled water were increasing at a rate of gallons per year.
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