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Comparing Rates of Change in Linear and Non-Linear Graphs

Algebra · Algebra — Grade 9

Course: Algebra Book: Algebra — Grade 9

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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)(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)(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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