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• Rate of change: is a rate that describes how one quantity changes in relation to another • Constant Rate of Change: is change in the y over a change in the x. • Direct Variation: when 2 variables quantities have a constant ratio • Constant of Variation: is the constant ratio • Constant of proportionality: is also the constant ratio • Examples Find the unit rate to determine the constant rate of change. Number Money ($) 5 10 40 Time 30 Distance 290 80 60 580 15 120 20 160 90 120 870 1160 • Direct Variation is when the ratio of y to x is a constant, k. We say y varies directly with x. • Symbols: y/x=k or y=kx • Examples (skip 3 lines between question) 1. The equation y=10x represents the amount of money Julio earns for x hours of work. Identify the constant of proportionality. 2. Pizzas cost $8 each plus a delivery charge of $3.00. Show the cost of 1,2,3 & 4 pizzas. Is it a direct variation? Time, $, y x 3. Determine whether the linear relationship is a direct variation. 1 12 If so, state the constant of proportionality. 2 3 4 24 36 48