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Algebra 1 · F-LE

Distinguish Linear from Exponential Growth

Linear growth adds a fixed amount each step; exponential growth multiplies by a fixed factor. Over time, exponential always wins.

Algebra 1Common Core HSF-LE.A.1F-LEVerified correct ✓

Worked examples

A table of values: (1, 5) | (2, 15) | (3, 45) | (4, 135) | (5, 405). Is the relationship linear (0) or exponential (1)? Check for constant differences or constant ratios.
Answer: 1
A table of values: (1, 1) | (2, 2) | (3, 4) | (4, 8) | (5, 16). Is the relationship linear (0) or exponential (1)? Check for constant differences or constant ratios.
Answer: 1

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