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.

---

Definitions:

Job Designs

The process of organizing tasks, duties, and responsibilities into a productive unit of work to enhance efficiency and employee satisfaction.

Core Characteristics Model

A framework identifying key job dimensions that influence motivation, satisfaction, and performance in the workplace.

High Turnover

A situation where an organization experiences a rapid rate of employee departure and replacement.

Job Enrichment

A management strategy focused on modifying and enhancing jobs to make them more satisfying and motivating for employees.