Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y = 990(0.95)^x
growth
decay
growth % increase submit answer

Explanation:

Step1: Identify growth/decay factor

The general exponential form is $y = a(b)^x$, where $b$ is the base. Here, $b = 0.95$. Since $0 < b < 1$, this is decay.

Step2: Calculate decay rate

Subtract the base from 1 to find the rate:
$1 - 0.95 = 0.05$
Convert to percentage: $0.05 \times 100 = 5\%$

Answer:

Decay, 5% decrease