Respuesta :
The function y = 18(0.914)^m is having exponential decay. The decay percent of this function is 8.6%
What is exponential growth or decay function?
Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
For this case, the exponential growth/decay function given is:
[tex]y = 18(0.914)^m[/tex]
That means, there is multiplication of (0.914) for each growth/decay.
We can rewrite 0.914 as:
0.914 = 1 - 0.086
This shows decay as multiplication with 0 < quantity < 1 makes the number less in magnitude.
A quantity times (1 - 0.086) = that quantity - that quantity times 0.086
and we can write 0.086 = 8.6/100 = 8.6%
Thus, we're decreasing 8.6% each time from a quantity when we multiply that quantity with (1-0.086)
Thus, there is exponential(exponential because of the presence of variable 'm' as exponent in the given function) decay of 8.6%.
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
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