Question

12 what is the difference between extrapolation and interpolation?
a extrapolation is when you have a strong positive or negative graph; interpolation is when you have a weak positive or negative graph.
b extrapolation is when you extend the line to include what is on the outside of the graph to predict the outcomes; interpolation is when you use what is on the graph.
c extrapolation is when you use what is on the graph to predict outcomes; interpolation is when you extend the line to include what is on the outside of the graph
d extrapolation is when you have a strong positive graph; interpolation is when the graph is strong negative.

Explanation:

To determine the difference between extrapolation and interpolation, we analyze each option:

• Option A: The strength (strong/weak) of the graph's slope (positive/negative) is not related to the definitions of extrapolation and interpolation. So A is incorrect.
• Option B: Extrapolation involves extending the line beyond the existing data points (outside the graph) to predict outcomes. Interpolation uses the existing data points (on the graph) to estimate values within the range of the data. This matches the correct definitions.
• Option C: This swaps the definitions of extrapolation and interpolation. So C is incorrect.
• Option D: The sign (positive/negative) of the graph's slope is not related to the definitions of extrapolation and interpolation. So D is incorrect.

Answer:

B. extrapolation is when you extend the line to include what is on the outside of the graph to predict the outcomes; interpolation is when you use what is on the graph.