Antonia recorded the number of cups of hot chocolate that were sold at soccer games compared to the outside temperature. The graph below represents her data.

Question

Hot Chocolate Sales
A graph has temperature (degrees Fahrenheit) on the x-axis, and cups sold on the y-axis. Points are grouped together between 43 degrees and 57 degrees.

For which temperature would the prediction of the number of cups sold be an interpolation?
21°F
35°F
49°F
63°F

Answer 1

Interpolation is the process of estimating values within the range of a set of known data points. In this case, since the points for hot chocolate sales are grouped together between 43°F and 57°F, any temperature within that range would be considered interpolation.

The temperature option given that falls within the range of 43°F and 57°F is:

49°F

The other temperatures (21°F, 35°F, and 63°F) are outside of this range, making their predictions extrapolations rather than interpolations.