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

📚Flashcards
Applications of Linear Functions
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Linear functions model

Real-world situations

Fixed charge in linear cost model

Constant amount that doesn't change (y-intercept)

Variable charge in linear cost model

Amount depending on usage (gradient/slope)

In C=a+bxC = a + bx, 'a' represents

Fixed charge (constant term)

In C=a+bxC = a + bx, 'b' represents

Rate per unit (coefficient of x)

Break-even point definition

Where two options cost exactly the same amount

Finding break-even graphically

Look for where two lines intersect on graph

Finding break-even algebraically

Set two expressions equal and solve for variable

Steeper gradient means

Cost increases more quickly as usage increases

When comparing options, consider

Both fixed charge and variable rate

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