Linear functions: rate of change, tables and word problems

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Learn it A linear function $y = mx + b$ has a constant rate of change m (how much y changes when x goes up by 1) and an initial value b (y when x = 0).

Example: A taxi charges $\$4$ plus $\$2$ per km.

Initial value b = 4.
Rate of change m = 2.
$C = 2k + 4$. For 9 km: $C = 2(9) + 4 = 22$.

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