A function is a relationship between inputs where each input is related to exactly one output.
The function with a decay rate of 5% is
f(x) = 100(0.95)
This is with a decay rate of 5%
Option C is the correct answer.
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Decay rate = 5%
5% = 5/100 = 0.05
The total rate = 100%
100% = 100/100 = 1
The rate to multiply with the function.
= 1 - 0.05
= 0.95
A)
f(x) = 100(-5)
This is not a decay rate of 5%
B)
f(x) = 105(0.05)
This is with a decay rate of 95%.
C)
f(x) = 100(0.95)
This is with a decay rate of 5%
D)
f(x) = 100(1.05)
This is not a decay rate function.
E)
f(x) = 100(5)
This is not a decay rate function.
Thus,
The function with a decay rate of 5% is
f(x) = 100(0.95)
This is with a decay rate of 5%
Option C is the correct answer.
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