Linear Models (HSC SSCE Mathematics Standard): Quizzes

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Linear models
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What type of relationship do linear models represent?

Quantities changing at a constant rate

In y=mx+cy = mx + c, what does mm represent?

The gradient (rate of change)

In y=mx+cy = mx + c, what does cc represent?

The vertical intercept (starting value)

What formula is used to calculate the gradient?

m=RiseRunm = \frac{\text{Rise}}{\text{Run}}

In Logan's iTunes model N=15m+100N = 15m + 100, what is the gradient?

1515

In Logan's iTunes model N=15m+100N = 15m + 100, what is the vertical intercept?

100100

In Grace's model, what is her base salary when zero policies are sold?

400 per week

In Grace's model I=50n+400I = 50n + 400, how much commission does she earn per policy?

50

Using points (0,400)(0, 400) and (8,800)(8, 800), what is the gradient?

5050

What does the vertical intercept represent in real-world linear models?

The value when the independent variable is zero

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