Question

georgianna 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?

• 0 to 5 minutes
• 0 to 18 minutes
• 0 to 30 minutes
• 18 to 30 minutes

Explanation:

Identify the range of the independent variable

$$ t_{\min} = 0,\quad t_{\max} = 30 $$

Define the interpolation interval

$$ \text{Interval} = [t_{\min}, t_{\max}] = [0, 30] $$

Match with the given options

$$ \text{Range} = 0\text{ to }30\text{ minutes} $$

Answer:

• 0 to 5 minutes
• 0 to 18 minutes
• 0 to 30 minutes (Correct answer)
• 18 to 30 minutes