The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible for this situation?
To determine which column of distance data is possible for a quadratic relationship between distance and time, we need to understand that a quadratic relationship is represented by a parabolic curve.
In a distance versus time plot, the x-axis represents time, and the y-axis represents distance. With a quadratic relationship, the graph would represent a parabolic curve opening upwards or downwards.
For distance data, we are looking for a column that follows a pattern where the values increase or decrease at a varying rate. If the values increase or decrease uniformly (at a constant rate), they would not represent a quadratic relationship.
Therefore, the column of distance data that is possible for a quadratic relationship would be one that exhibits a non-uniform pattern, increasing or decreasing at varying rates. This pattern would suggest a curved relationship rather than a straight line.
To identify this column of data, examine the values and their rate of change. If the rate of change is not constant and the pattern is better represented by a curve, then that column of distance data is possible for a quadratic relationship.