The function f (x) = 10 (5) x represents the growth of a lizard population every year in a remote desert. Crista wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. Which function is correct for Crista's purposes?

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16 September, 08:51

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Amelia Yu · Answer 1

F (x) = 10 (5) ^x

t = 2x = > x = t/2 = > f (t) = 10 (5) ^ (t/2)

Note that t = 1 = > x = 0.5 years; t = 2 = > x = 1 year; t=3 = > x = 1.5 years, ...