Use a Graphing Calculator to Plot the Data and Find

question 9

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the regression equation
Of the best model. $\begin{array}{l|llllll}\mathrm{x} \text { (seconds after release) } & 2 & 2 & 3 & 4 & 5 & 6 \\\hline \mathrm{y} \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572\end{array}$

• A) \(y = 15.95 x ^ { 2 }\)
• B) \(y = - 74.9 + 290 \ln x\)
• C) \(\mathrm { y } = - 148.4 + 112 \mathrm { x }\)
• D) \(y = 13.0 \mathrm { e } ^ { 0.686 \mathrm { x } }\)

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Definitions:

Increase

A rise in quantity, value, or some other measure, indicating growth or expansion.

Throughput Time

The total time taken from the start to the finish of a production process, including both processing and wait times.

Fill Orders

The process of completing customer requests for goods or services, involving tasks from accepting, processing, and delivering the order.

Delivery Cycle Time

The total time taken from the initiation of a process or order until its completion and delivery to the customer.