Applications of Linear Functions (VCE SSCE Mathematical Methods): Quizzes

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Applications of Linear Functions
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In the linear cost function C=a+bxC = a + bx, what does the variable aa represent?

The fixed charge

In C=a+bxC = a + bx, what does the coefficient bb represent?

Rate per unit

What is a break-even point when comparing two pricing options?

Where both options cost the same

How can a break-even point be found? (Select the complete answer)

Graphically or algebraically

In the example, for Method A: C1=25+0.5xC_1 = 25 + 0.5x. What is the fixed charge?

25 dollars

In the example, at 100 units both methods cost the same. What happens after 100 units?

Method B becomes cheaper

For usage less than 100 units in the example, which method is cheaper?

Method A

What does a steeper gradient mean for a cost function?

Cost increases more quickly

In the example, Method A has C1=25+0.5xC_1 = 25 + 0.5x. What is the rate per unit?

50 cents

Which description matches Method B (C2=50+0.25xC_2 = 50 + 0.25x) in the example?

Higher fixed, lower rate

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