Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y = 910(0.94)^x
answer attempt 1 out of 3
growth % increase submit answer

Explanation:

Step1: Compare to standard form

The standard exponential function is $y = a(1+r)^x$, where $a$ is the initial value, and $r$ is the rate of change.

Step2: Identify the base value

Here, the base of the exponent is $0.94$. Since $0.94 < 1$, this represents decay.

Step3: Calculate the decay rate

Set $1+r = 0.94$, so $r = 0.94 - 1 = -0.06$. Convert to percentage: $-0.06 \times 100 = -6\%$, meaning a 6% decrease.

Answer:

Decay, 6% decrease