Annual U.S. sales of bottled water rose through the period 1993–2003 as shown in the following chart. The function R(t) = 17t2 + 100t + 2300 million gallons (3 ≤ t ≤ 13) gives a good approximation, where t is time in years since 1990. Find the derivative function R (t). According to the model, how fast were annual sales of bottled water increasing in 2000?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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Annual U.S. sales of bottled water rose through the period 1993–2003 as shown in the following chart.

The function
R(t) = 17t2 + 100t + 2300 million gallons (3 ≤ t ≤ 13)
gives a good approximation, where t is time in years since 1990. Find the derivative function R (t). According to the model, how fast were annual sales of bottled water increasing in 2000?

Bottled Water Sales in the U.S.
7000
6000
5000
4000
3000
2000
1000
1993 1995 1997
1999 2001 2003
Millions of gallons
Transcribed Image Text:Bottled Water Sales in the U.S. 7000 6000 5000 4000 3000 2000 1000 1993 1995 1997 1999 2001 2003 Millions of gallons
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