Questions: Question 3 (1 point) Do you think it would be appropriate to use interpolation to find the distance at 7 or 9 minutes? Yes, they fall outside of the data points we have. No, they fall outside of the data points we have. Yes, they fall within the data points we have. No, they fall within the data points we have.

Solution Steps

For Question 3, we need to determine if interpolation is appropriate for finding the distance at 7 or 9 minutes based on the given data points. Interpolation is used to estimate values within the range of known data points. Since 7 and 9 minutes fall outside the given data points (0, 2, 4, 6 minutes), interpolation is not appropriate. Instead, extrapolation would be used for values outside the known range.

The given data points are:

• Time: \( t = [0, 2, 4, 6] \)
• Distance: \( d = [0, 6, 12, 18] \)

To determine if interpolation is appropriate for \( t = 7 \) and \( t = 9 \), we check if these values fall within the range of the known data points. The range of the data points is from \( 0 \) to \( 6 \).

• For \( t = 7 \): \( 7 \notin [0, 6] \) (False)
• For \( t = 9 \): \( 9 \notin [0, 6] \) (False)

Since both \( t = 7 \) and \( t = 9 \) fall outside the range of the known data points, interpolation is not appropriate for these values.

Final Answer