Which table represents a linear function?Responsesxy1328315421x y 1 3 2 8 3 15 4 21xy1329327481x y 1 3 2 9 3 27 4 81xy13293349x y 1 3 2 9 3 3 4 9xy1327311415
Question
Which table represents a linear function?Responsesxy1328315421x y 1 3 2 8 3 15 4 21xy1329327481x y 1 3 2 9 3 27 4 81xy13293349x y 1 3 2 9 3 3 4 9xy1327311415
Solution
The table that represents a linear function is the first one:
xy 1 3 2 8 3 15 4 21
This is because in a linear function, the difference between the y-values (output) is constant for an equal difference in the x-values (input). In this case, as x increases by 1, y increases by 5, which is a constant rate of change.
The other tables do not show a constant rate of change, so they do not represent linear functions.
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