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# Rate of Change and Direct Variation - PowerPoint PPT Presentation

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

Chapter 5

Section 3

Objectives

• Find the rate of change from a graph.

• Solve and graph direct-variation equations.

Glossary Terms

constant of variation

direct variation

Hooke’s law

rate of change

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

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.

= 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.