Answer:
-60%
Step-by-step explanation:
You want the percent rate of change when the value is described by the exponential function f(x) = 0.6(0.4^x).
The given function is of the form ...
f(x) = a(b^x)
where 'a' is the initial value (when x=0), and 'b' is the growth factor.
The growth factor is related to the rate of change by ...
growth factor = 1 + rate of change
Using the above function template, we see that ...
Then we have for the rate of change ...
0.4 = 1 + rate of change
rate of change = 0.4 -1 = -0.6 = -60%
The percent rate of change of the given function is -60%.
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Additional comment
The negative sign tells you this is a decay function, and that the value is decaying at the rate of 60% per period.
The percent rate of change of the function f(x)=0.6(0.4)x is 40%
Exponential equation are inverse of logarithmic equation. The standard exponential equation is given as;
f(x) = ab^x
where
a is the base
b is the rate of change
Given the function below
f(x)=0.6(0.4)^x
Compare tp have
b = 0.4
Multiply by 100
b = 0.4 * 100
b = 40%
Hence the percent rate of change of the function f(x)=0.6(0.4)x is 40%
Learn more on percent rate here: https://brainly.com/question/27161222
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