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Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend line shown below.

Apples
A graph has number of apples on the x-axis, and total weight (pounds) on the y-axis. Points are between (4, 5) and (15, 14).

For which number of apples is the prediction of the total weight an extrapolation?
6
12
15
18

1 answer

Extrapolation occurs when we make predictions outside the range of the data that was used to create the trend line. In the scatterplot you mentioned, the points for the number of apples range between 4 and 15.

From the options you provided:

  • 6 is within the range (4 to 15).
  • 12 is within the range (4 to 15).
  • 15 is the upper limit of the range.
  • 18 is outside the range (greater than 15).

Therefore, the prediction of the total weight for 18 apples would be an extrapolation.