Question

1 determine whether the function below is exponential growth or exponential decay, and find the percentage rate of change. p(t) = 3.5(0.91)^t a exponential growth; 9% b exponential decay; 9% c exponential decay; 3.5% d exponential growth; 3.5%

Explanation:

Step1: Identify the base of the exponent

The function is $P(t) = 3.5(0.91)^t$, so the base $b = 0.91$.

Step2: Determine growth or decay

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

Step3: Calculate percentage rate

Rate = $1 - b = 1 - 0.91 = 0.09 = 9\%$.

Answer:

B. Exponential decay; 9%