Answer:
- decay
- decrease 9.6% per period
Explanation:
You want to know whether the function y = 340(0.904^x) represents growth or decay, and the percentage rate of increase or decrease.
Exponential function
The general form of an exponential function is ...
y = a(b^x)
where ...
- a = initial value
- b = growth factor = 1 +growth rate
The function will represent growth when b > 1, and decay when b < 1.
Here, we have ...
b = 0.904 = 1 - 0.096 . . . . . . . . b < 1; growth rate = -9.6%
The function represents decay at the rate of 9.6% per interval.
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Additional comment
No units for x are given, so we don't know what x might represent. It could be seconds, years, decades, or some other sort of interval, such as "iterations." All we know is that when x increases by 1, the value of y decreases by 9.6%.