Choose among these options the one that results in a graph that shows exponential decay. A. f (x) = 0.6 (2) x B. f (x) = 3 (0.7) x C. f (x) = 0.4 (1.6) x D. f (x) = 20 (3) x

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Mathematics

Kelvin Cantrell

18 August, 13:36

Choose among these options the one that results in a graph that shows exponential decay. A. f (x) = 0.6 (2) x B. f (x) = 3 (0.7) x C. f (x) = 0.4 (1.6) x D. f (x) = 20 (3) x

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Anabelle Stout · Answer 1

B. f (x) = 3 (0.7) ˣ

Decay means an overall decrease in the original value. Exponential equations are written in the form:

amount after time n = original amount x (decay OR increase factor) ⁿ

The value of the factor is less than one in the case of a decay.