Rate of change and direct variation
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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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Rate of change and direct variation

Rate of Change and Direct Variation

Chapter 5

Section 3


Objectives

5.3 Rate of Change and Direct Variation

Objectives

  • Find the rate of change from a graph.

  • Solve and graph direct-variation equations.


Glossary terms

5.3 Rate of Change and Direct Variation

Glossary Terms

constant of variation

direct variation

Hooke’s law

rate of change


Rules and properties

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


Key skills

–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.


Key skills1

= 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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