Question

georgianna wants to use the linear model associated with the data in the table to make a prediction. which range of time values describes the entire interval over which she would be interpolating? distance over time 0 to 5 minutes 0 to 18 minutes 0 to 30 minutes 18 to 30 minutes

Explanation:

Interpolation is making predictions within the range of existing data points. The time values in the table are 0, 5, 10, 15, and 30 minutes. The minimum time is 0 minutes and the maximum time from the given data (excluding extrapolation) for interpolation is up to 30 minutes? Wait, no—wait, the data points are at 0,5,10,15,30. Wait, no, interpolation is between the known data points. Wait, the time values in the table are 0, 5, 10, 15, 30. So the interval of the existing time data is from 0 to 30 minutes. Interpolation is within the range of the data, so the entire interval over which she would be interpolating is 0 to 30 minutes? Wait, no, let's check the options. The options are 0 - 5, 0 - 18, 0 - 30, 18 - 30. Wait, the time values in the table are 0,5,10,15,30. So the minimum time is 0, maximum is 30. So interpolation is between 0 and 30 minutes because 30 is a data point, and the other points are in between. Wait, but 18 is not a data point, but 0 to 30 includes all the time values from the table (0,5,10,15,30), so the interval for interpolation is within the data's time range, which is 0 to 30 minutes. Wait, but let's recheck: the time values are 0,5,10,15,30. So the domain of the data is from 0 to 30 minutes. So interpolation is within that interval. So the correct range is 0 to 30 minutes.

Answer:

0 to 30 minutes