Find a Power Function That Models the Data in the Table

question 101

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-A ball is tossed upward. Its height after t seconds is given in the table. $$\begin{array} { l | r r r r r } \text { Time (seconds) } & 0.5 & 1 & 1.5 & 2 & 2.5 \\\hline \text { Height (feet) } & 26.5 & 39.5 & 44.5 & 41.5 & 30.5\end{array}$$ Find a quadratic function to model the data. Use the model to determine when the ball reaches its maximum height, as well as the value of the maximum height.

• A) The ball reaches a maximum height of 40 feet in 1.5 seconds.
• B) The ball reaches a maximum height of 50 feet in 2.1 seconds.
• C) The ball never reaches a maximum height.
• D) The ball reaches a maximum height of 44.6 feet in 1.6 seconds.

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Definitions:

Accommodative Negotiation

A negotiation approach where one party makes concessions to the other to reach an agreement, often at their own expense.

Resistance Point

The least favorable position on an issue that one is willing to accept during a negotiation process.

Bidding War

A competitive situation where multiple parties repeatedly outbid each other to win something, often seen in auctions or real estate markets.

Phase Model

A framework that outlines sequential stages or steps in a process or activity.