Write the Word or Phrase That Best Completes Each Statement

question 161

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-The amount of water (in gallons) in a leaky bathtub is given in the table below. Using a graphing utility, fit the data to a third degree polynomial (or a cubic) . Then approximate the time at which there is maximum amount
Of water in the tub, and estimate the time when the water runs out of the tub. Express all your answers rounded
To two decimal places. $$\begin{array} { c | c c c c c c c c } t \text { (in minutes) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \mathrm { V } \text { (in gallons) } & 20 & 26 & 45 & 63 & 86 & 94 & 90 & 67\end{array}$$

• A) maximum amount of water after 5.37 minutes; water runs out after 11.06 minutes
• B) maximum amount of water after 8.23 minutes; water runs out after 19.73 minutes
• C) maximum amount of water after 5.31 minutes; water runs out after 8.23 minutes
• D) maximum amount of water after 5.31 minutes; water never runs out

---

Definitions:

Initiative Process

A form of direct democracy that allows citizens to propose and vote on legislation or constitutional amendments.

States

Political and geographic entities that possess sovereignty and governmental structures, often part of a larger nation or federal system.

Election Cycle

The period that encompasses the stages of an election process, from the announcement of candidates to the final election.

Candidate

An individual who seeks or is nominated for an elective position in government or within a political party.