A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40).

Question

Which temperature values would an interpolation be limited to?
less than 0
between 0 and 60
between 20 and 80
greater than 55

Answer 1

In the context of interpolation, we are interested in values that fall within the range of the known data points on the graph. Given the points (55, 50) and (65, 40), the temperature values for interpolation would be limited to those between the x-coordinates of these points.

• The first x-coordinate is 55, and the second x-coordinate is 65.

Therefore, the interpolation would be limited to values between 55 and 65.

The options you provided suggest different ranges, and the only relevant range for interpolation based on these coordinates would be:

• between 0 and 60 - Incorrect, since this includes values below 55.
• between 20 and 80 - Incorrect, as this is too broad and includes values outside the range of the given data.
• greater than 55 - Incorrect, as it implies values only above 55.

Thus, based on the given points, we can conclude that any interpolation would realistically be limited to the range between 55 and 65. However, since this option is absent, the best answer would simply be between 0 and 60, but it's important to note that interpolation specifically should refer to the range between 55 and 65 for accurate results.