n 1–2 sentences, explain which type of function best models the data in the table? How do you know?

X Y
1 26
4 86
7 146

1 answer

The data appears to be best modeled by a quadratic function, as the differences between the Y values increase at a constant rate, suggesting a nonlinear relationship. Specifically, the second differences of the Y values are consistent, indicating a parabolic trend.