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Ina wants to use the linear model associated with the data in the table to make a prediction.

Distance over Time

\begin{tabular}{|c|c|}
\hline Time (minutes) & Distance (miles) \\
\hline 0 & 0 \\
\hline 5 & 4 \\
\hline 10 & 9 \\
\hline 15 & 13 \\
\hline 30 & 18 \\
\hline
\end{tabular}

Which range of time values describes the entire interval over which she would be interpolating?

A. 0 to 5 minutes
B. 0 to 18 minutes
C. 0 to 30 minutes
D. 18 to 30 minutes



Answer :

GinnyAnswer
To determine the range of time values over which Ina would be interpolating using the linear model based on the given data, we first identify the time intervals provided in the table. The time values given are:

- 0 minutes
- 5 minutes
- 10 minutes
- 15 minutes
- 30 minutes

Interpolation means predicting values within the range of the given data points. Therefore, the time range over which she would be interpolating includes all time values from the smallest to the largest value in the data set, without going beyond them.

From the table, the smallest time value is 0 minutes and the largest is 30 minutes. Therefore, the range of time values over which interpolation can occur would be from 0 to 30 minutes.

Thus, the range of time values for interpolation is:

0 to 30 minutes.

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