A Swimming Pool Has a Leak Suppose It Keeps Leaking 6

question 83

Multiple Choice

A swimming pool has a leak. The leak is getting worse. The following table gives the leak rate every 6 hours. $$\begin{array} { c | c } \begin{array} { c } \text { Time } \\\text { (hr) }\end{array} & \begin{array} { c } \text { Leakage } \\\text { (gal/hour) }\end{array} \\\hline 0 & 0 \\6 & 0.5 \\12 & 0.7 \\18 & 1.1 \\24 & 2.4 \\30 & 4.5 \\36 & 5.6 \\42 & 6.0 \\48 & 6.3\end{array}$$ Suppose it keeps leaking 6.3 gallons every 6 hours. After losing 2700 gallons the leak is fixed. Approximately how long did the leak last? Use the right endpoints to estimate the first 48 Hours.

• A) 54.59 hours
• B) 32.48 hours
• C) 26.48 hours
• D) -87.60 hours

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Definitions:

Centrifuge

A machine that uses centrifugal force to separate substances of different densities, such as blood components.

Solids

Matter with a definite shape and volume, one of the fundamental states of matter along with liquids and gases.

Sediment

Particles that settle at the bottom of a liquid; in a medical context, it may refer to the solid material that settles at the bottom of urine.

Evaluation

The process of examining something carefully to judge its value, quality, or importance, often for decision-making purposes.