Problem

Interpret \(g(x)~=~90\cdot~0.7^{x}\). State the base, retained and decay percentages, recurrence, \(\text{first}~\text{two}\) values, and \(\text{two}\text{-}\text{step}\) factor and percent change.

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base = 0.7; retained = 70%; decay = 30%; recurrence = g(x+1)=0.7g(x); values = g(0)=90 and g(1)=89.3; two-step change = decay 60%

base = 0.7; retained = 70%; decay = 30%; recurrence = g(x+1)=g(x)-0.7; values = g(0)=90 and g(1)=89.3; two-step change = subtract 1.4, decay 1.56%

base = 0.7; retained = 70% each interval; decay = 30%; recurrence = g(x+1)=0.7g(x); values = g(0)=90 and g(1)=63; two-step change = factor 0.49, decay 51%

base = 0.7; retained = 30% each interval; decay = 70%; recurrence = g(x+1)=0.7g(x); values = g(0)=90 and g(1)=63; two-step change = factor 0.49, decay 51%

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Interpret \(g(x)~=~90\cdot~0.7^{x}\). State the base, retained and decay percentages, recurrence, \(\text{first}~\text{two}\) values, and \(\text{two}\text{-}\text{step}\) factor and percent change.

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