Question

georgianna wants to use the linear model associated with the data in the table to make a prediction.
distance over time

time (minutes)	distance (miles)
5	4
10	9
15	13
30	18

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:

Step1: Recall Interpolation Definition

Interpolation is estimating within the range of known data. The time values in the table are 0, 5, 10, 15, 30 minutes. So the known time interval is from the minimum (0) to maximum (30) of these values.

Step2: Analyze Options

• 0 to 5: Too narrow, excludes 10,15,30.
• 0 to 18: 18 is not in the table, and excludes 30.
• 0 to 30: Covers all known time points (0,5,10,15,30), so interpolation is within 0–30.
• 18 to 30: Excludes lower time values (0–15), not the entire interval.

Answer:

0 to 30 minutes