The problem
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What is the decay rate in a function? Give as a percent.
F(x)=0.9(0.7)^t
Answer provided by our tutors
Exponential decay can b expressed by the formula
y=a(1-b)^x,
wherein 'y' is the final amount, 'a' is the original amount, 'b' is the decay factor, and 'x' is the amount of time that has passed.
In your case
F(x)=0.9(0.7)^t
we have:
y = F(x)
a = 0.9
x = t
1-b = 0.7
If we solve '1-b = 0.7' for 'b' we get
b = 1 - 0.7
b = 0.3 that is 30%
The decay rate is 30%.