MY NOTES ASK YOUR TEACHER PRA The rate of sales of bottled water in a country for the period 2007-2014 can be approximated by stt) = 0.08t2 - 0.24t + 8.8 billion gallons per year (0

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image shows a mathematical problem related to the sales of bottled water from 2007 to 2014. Here is a transcription suitable for an educational context:

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**Bottled Water Sales Problem**

The rate of sales of bottled water in a country for the period 2007–2014 can be approximated by:

\[ s(t) = 0.08t^2 - 0.24t + 8.8 \] 

billion gallons per year \((0 \leq t \leq 7)\),

where \( t \) is time in years since the start of 2007. Use an indefinite integral to approximate the total sales \( S(t) \) of bottled water since the start of 2007. (Round your coefficients to four decimal places.)

\[ S(t) = \]

Approximately how much bottled water was sold from the start of 2007 to the start of 2014? HINT: [At the start of 2007, sales since that time are zero.] (Round your answer to two decimal places.)

\[ \text{billion gallons} \]

There is a button labeled "Show My Work (Optional)" to allow users to input their solution steps.

Buttons at the bottom include "Submit Assignment" and "Save Assignment Progress," with links to "Home," "My Assignments," and "Request Extension."

--- 

This transcription is designed to guide students through solving the integral to find the total sales over the specified period.
Transcribed Image Text:The image shows a mathematical problem related to the sales of bottled water from 2007 to 2014. Here is a transcription suitable for an educational context: --- **Bottled Water Sales Problem** The rate of sales of bottled water in a country for the period 2007–2014 can be approximated by: \[ s(t) = 0.08t^2 - 0.24t + 8.8 \] billion gallons per year \((0 \leq t \leq 7)\), where \( t \) is time in years since the start of 2007. Use an indefinite integral to approximate the total sales \( S(t) \) of bottled water since the start of 2007. (Round your coefficients to four decimal places.) \[ S(t) = \] Approximately how much bottled water was sold from the start of 2007 to the start of 2014? HINT: [At the start of 2007, sales since that time are zero.] (Round your answer to two decimal places.) \[ \text{billion gallons} \] There is a button labeled "Show My Work (Optional)" to allow users to input their solution steps. Buttons at the bottom include "Submit Assignment" and "Save Assignment Progress," with links to "Home," "My Assignments," and "Request Extension." --- This transcription is designed to guide students through solving the integral to find the total sales over the specified period.
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