Question

find growth/decay percentage (level 1)
score: 3/5 penalty: 1 off
question
given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
$y = 10(0.91)^x$
answer attempt 1 out of 2
growth % increase submit answer

Explanation:

Step1: Identify base of exponent

The exponential function is $y = 10(0.91)^x$, so the base $b = 0.91$.

Step2: Determine growth/decay

Since $0 < 0.91 < 1$, it is decay.

Step3: Calculate percentage rate

Subtract base from 1: $1 - 0.91 = 0.09$, convert to percentage: $0.09 \times 100\% = 9\%$.

(Note: The final answer should state the type of change and the percentage rate. Here, it's decay with a 9% decrease.)

Answer:

Decay, 9% decrease