Problem

Given the following exponential function, identify whether the change growth or decay, and cretermine the percentage rate of increase or dec
\[
y=880(0.99)^{x}
\]

Answer Attempt 1 out of 2
Growth
$\%$ increase
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Answer

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Answer

Final Answer: The function represents exponential decay with a rate of \(\boxed{1\%}\).

Steps

Step 1 :The given function is an exponential function of the form \(y = ab^x\), where \(a = 880\) and \(b = 0.99\).

Step 2 :Since the base \(b\) is less than 1, this function represents exponential decay, not growth.

Step 3 :The rate of decay is calculated as \(1 - b = 1 - 0.99 = 0.01\) or 1%.

Step 4 :Therefore, the function represents a 1% rate of decay.

Step 5 :Final Answer: The function represents exponential decay with a rate of \(\boxed{1\%}\).

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