Constant Rate of Change (VCE SSCE Mathematical Methods): Flashcards

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Constant rate of change
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Constant rate of change

Changing at the same rate throughout

Functions with constant rate of change

Linear functions

Constant rate in f(x)=mx+cf(x) = mx + c

mm (the gradient)

Two methods to find constant rate

Graphical (gradient) & algebraic (coefficient mm)

Gradient formula (graphical)

vertical changehorizontal change\frac{\text{vertical change}}{\text{horizontal change}}

Gradient in distance-time graph means

Speed (at constant velocity)

Steeper gradient means

Faster rate of change

Constant rate in f(x)=3x+2f(x) = 3x + 2

33

Rate if (20, 2400) on USD-yen graph

120 yen per dollar

Real-world constant rate examples

Pay rate, unit pricing, water filling, currency exchange

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

Explore VCE SSCE Mathematical Methods Quizzes by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

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