Solve the Problem
-A Ball Is Tossed Upward $\mathrm { t }$

question 69

Multiple Choice

Solve the problem
-A ball is tossed upward. Its height after $\mathrm { t }$ seconds is given in the table.
$\begin{array}{l|rcrcr}\text { Time (seconds) } & 0.5 & 1 & 1.5 & 2 & 2.5 \\\hline \text { Height (feet) } & 26.5 & 39.5 & 44.5 & 41.5 & 30.5\end{array}$

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

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Definitions:

Pie Chart

A round statistical diagram segmented into sections to represent numerical proportions.

Qualitative Variable

A variable that categorizes or describes attribute of a data set rather than expressing a numerical value.

Frequency Distribution

A frequency distribution shows how often each different value in a set of data occurs.

Qualitative Variable

A variable that categorizes or describes attribute or characteristic of a subject, not measured with numbers.