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Rate of Change and Direct Variation

Rate of Change and Direct Variation. Chapter 5 Section 3. 5.3 Rate of Change and Direct Variation. Objectives. Find the rate of change from a graph. Solve and graph direct-variation equations. 5.3 Rate of Change and Direct Variation. Glossary Terms. constant of variation

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Rate of Change and Direct Variation

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  1. Rate of Change and Direct Variation Chapter 5 Section 3

  2. 5.3 Rate of Change and Direct Variation Objectives • Find the rate of change from a graph. • Solve and graph direct-variation equations.

  3. 5.3 Rate of Change and Direct Variation Glossary Terms constant of variation direct variation Hooke’s law rate of change

  4. If y varies directly as x, then y = kx, or= k, where k is the constant of variation. y x 5.3 Rate of Change and Direct Variation Rules and Properties Direct Variation

  5. –3 – 3 m = 2 – (–1) = = –2 –6 3 5.3 Rate of Change and Direct Variation Key Skills Find the rate of change from a graph. Choose two points, such as (–1, 3) and (2, –3). Find the slope.

  6. = k ; k = 14 28 2 5.3 Rate of Change and Direct Variation Key Skills Solve problems of direct variation. If y varies directly as x, and y = 28 when x = 2, find k, and write an equation of direct variation. The equation is y = 14x.

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