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Question
given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
( y = 850(0.919)^x )
growth
decay
growth % increase
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Step1: Identify growth/decay factor
The base of the exponential term is $0.919$. Since $0 < 0.919 < 1$, this is decay.
Step2: Calculate decay percentage
Subtract the base from 1, convert to percentage:
$1 - 0.919 = 0.081 = 8.1\%$
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Decay, 8.1% decrease