In order for the data in the table to represent a linear function with a rate of change of plus 5 , what must be the value of a ? x y 3 13 4 a 5 23

A rate of change of +5 means that when x increases by 1, y increases by 5. From x = 3 to x = 4, y must increase from 13 to 18, so a = 18. This also fits the next pair: y rises from 18 to 23 as x goes from 4 to 5.

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