Bottled Water Sales Annual U.S. per capita sales of bottled water in the period 2007–2014 could be approximated by R ( t ) = 0.25 t 2 − t + 29 gallons ( 0 ≤ t ≤ 7 ) , where t is time in years since 2007. According to the model, were annual U.S. per capita sales of bottled water accelerating or decelerating in 2009? How fast? [ HINT: See Example 2.]
Bottled Water Sales Annual U.S. per capita sales of bottled water in the period 2007–2014 could be approximated by R ( t ) = 0.25 t 2 − t + 29 gallons ( 0 ≤ t ≤ 7 ) , where t is time in years since 2007. According to the model, were annual U.S. per capita sales of bottled water accelerating or decelerating in 2009? How fast? [ HINT: See Example 2.]
Solution Summary: The author calculates whether the annual sales of bottled water in the united states were accelerating or decelerating in 2009.
Bottled Water Sales Annual U.S. per capita sales of bottled water in the period 2007–2014 could be approximated by
R
(
t
)
=
0.25
t
2
−
t
+
29
gallons
(
0
≤
t
≤
7
)
,
where t is time in years since 2007. According to the model, were annual U.S. per capita sales of bottled water accelerating or decelerating in 2009? How fast? [HINT: See Example 2.]
Births to Unmarried Mothers The percent of livebirths to unmarried mothers for the years 1970–2007can be modeled by the logistic functiony = 44.742/1 + 6.870e-0.0782xwhere x is the number of years after 1960.a. Use this model to estimate the percent in 1990 andin 1996.b. What is the upper limit of the percent of teenmothers who were unmarried, according to thismodel?
the population P (in millions) in Russian from 1996 to 2004 can be approximated by the model P=152.26e-0.00039t where t=6 represents the year 1996.
using the model, and without doing any calculations. answer the following question.
would the population of Russian be increasing or decreasing during the given time period? explain.
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by
D = 10,020e0.02292t
where t is the number of years past 2010. In what year is disposable income predicted to be $18 trillion (that is, $18,000 billion)?
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