Final answer:
The rate of change in the function A(x) = P(0.95)^x is a 5% decrease per period, which is option C) -5%.
Step-by-step explanation:
The rate of change in the given exponential function for compounding interest, A(x) = P(0.95)^x, can be understood by looking at the base of the exponent, 0.95. This base is less than 1, which indicates a decay in value over time, equivalent to a decrease or negative growth. Since 0.95 is the factor by which the initial amount P is multiplied each period, we can calculate the rate of change by subtracting this value from 1 and converting it to a percentage: 1 - 0.95 = 0.05, which is 5%. Therefore, the rate of change is a 5% decrease per period, which corresponds to option C) -5%.