Linear Models (VCE SSCE Mathematical Methods): Quizzes

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Linear Models
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What is the general form of a linear model equation?

y=mx+cy = mx + c

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

Gradient (rate of change)

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

Y-intercept (starting value)

What are fixed costs in a cost function?

Constant amount regardless of quantity

A site charges 200 USD monthly plus 3.50 USD per tourist. What is the cost function for nn tourists?

C=3.5n+200C = 3.5n + 200

In a cost function, what does the gradient represent?

Cost per additional unit

For constant speed travel, distance s=40ts = 40t. What does the gradient (40) represent?

Speed in km/h

What does a positive gradient mean in a distance-time graph?

Moving away from reference point

What does a negative gradient mean in a distance-time graph?

Moving towards reference point

A car 10 km past an office travels at 90 km/h. What is distance from office after tt hours?

d=10+90td = 10 + 90t

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