Answer:
Explanation:
You want to know if the function y = 3900(1.86^x) represents growth or decay, and at what rate.
Exponential function
An exponential function can be written in the form ...
y = (initial value)(growth factor)^x
where ...
growth factor = 1 + growth rate
Growth rate
Solving for the growth rate, we find ...
growth rate = growth factor - 1
Comparing the given equation to the above form, we see ...
initial value = 3900
growth factor = 1.86
Then the growth rate is ...
growth rate = 1.86 - 1 = 0.86 = 86%
When the growth rate is positive, the function represents growth, not decay.
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