Question

find growth/decay percentage (level 1)
score: 2/5 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.
$y = 100(0.971)^x$
answer attempt 1 out of 2
decay % decrease submit answer

Explanation:

Step1: Identify growth/decay factor

The base of the exponential function is $0.971$, which is less than 1, so it's decay.

Step2: Calculate decay percentage

Subtract the base from 1: $1 - 0.971 = 0.029$

Step3: Convert to percentage

Multiply by 100: $0.029 \times 100 = 2.9$% decrease.

Answer:

Decay, 2.9% decrease