When you want to tell the difference between linear and nonlinear relationships, there are a few simple things to look for:

1. Graph Shape:

   • Linear functions make straight lines on a graph.
   • Nonlinear functions create curves or bends, like U-shaped graphs (parabolas) or circles.

2. Equation Form:

   • Linear equations usually look like this: (y = mx + b), where (m) is the slope.
   • Nonlinear equations can have squares, cubes, or sine and cosine functions, like (y = ax^2 + bx + c).

3. Rate of Change:

   • In linear functions, the rate of change stays the same.
   • In nonlinear functions, the rate of change can change.

By watching for these patterns, you can easily figure out the relationship between different variables!