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Estimate the Value of the Quantity Suppose It Keeps Leaking 6.76.7

question 210

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Estimate the value of the quantity.
-A swimming pool has a leak. The leak is getting worse. The following table gives the leak rate every 6 hours.
 Time  (hr)   Leakage  (gal/hour)  0060.5120.7181.1242.4304.5365.6426.0486.7\begin{array}{c|c}\begin{array}{c}\text { Time } \\\text { (hr) }\end{array} & \begin{array}{c}\text { Leakage } \\\text { (gal/hour) }\end{array} \\\hline 0 & 0 \\6 & 0.5 \\12 & 0.7 \\18 & 1.1 \\24 & 2.4 \\30 & 4.5 \\36 & 5.6 \\42 & 6.0 \\48 & 6.7\end{array}

Suppose it keeps leaking 6.76.7 gallons every 6 hours. After losing 3200 gallons the leak is fixed. Approximately how long did the leak last? Use the right endpoints to estimate the first 48 hours.


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