Comparing Rates of Change in Linear and Non-Linear Graphs

Algebra · Algebra — Grade 9

Question

Compare the rates of change in a linear graph and a non-linear graph using two real-life situations: **Situation A (Linear):** A person walks at a steady pace. Points: $(0, 0),\ (1, 3),\ (2, 6),\ (3, 9),\ (4, 12)$ **Situation B (Non-linear):** A ball rolls down a ramp and speeds up. Points: $(0, 0),\ (1, 1),\ (2, 4),\ (3, 9),\ (4, 16)$ For each situation, calculate the rate of change over three intervals and determine whether the rate is constant or varying.

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