Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

$y = 920(0.92)^x$

answer
attempt 1 out of 2
growth % increase
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Explanation:

Step1: Identify growth/decay factor

The exponential function is in the form $y = a(b)^x$, where $b=0.92$. Since $0 < b < 1$, this is decay.

Step2: Calculate percentage decrease

Subtract the base from 1 to find the decay rate:
$1 - 0.92 = 0.08$
Convert to percentage: $0.08 \times 100 = 8\%$

Answer:

Decay, 8% decrease