Constant additive change; Context, table, graph and formula representations; Slope/intercepts in context; Substitution, rearranging/solving linear equations and translating representations
Example 1
A taxi charges $4 plus $2 per kilometre. Find the charge for 2km.
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Answer: 8
Use cost = fixed charge + rate × distance.
Example 2
A line passes through (0,6) and (2,12). Find its gradient.
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Answer: 3
Gradient =changein xchangein y.
Example 3
Revenue is 10x dollars and cost is 6x+8 dollars. Find break-even quantity x.
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Answer: 2
Set revenue equal to cost: 4x=4b.
Put it into practice.
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