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

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Constant rate of change
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What does constant rate of change mean?

Changing at same rate throughout

For f(x)=3x+2f(x) = 3x + 2, what is the constant rate of change?

33

How do you calculate gradient from a graph?

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

A car travels 150150 km in 120120 min at constant speed. What is the gradient?

54\frac{5}{4}

If speed is 54\frac{5}{4} km/min, what is it in km/h?

7575 km/h

On a distance-time graph, what does a steeper gradient mean?

Faster speed

Currency graph passes through (20,2400)(20, 2400). What is the exchange rate in yen per dollar?

120120 yen per dollar

Which is NOT a real-world example of constant rate?

Accelerating car speed

On distance-time graphs, what does gradient represent?

Speed

For linear function f(x)=mx+cf(x) = mx + c, what is mm?

The constant rate of change

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