The initial value is 12.5
Decay rate is 37.5 %
Solution:
Given that equation is:
[tex]f(t) = 12.5(0.625)^t[/tex]
We have to find the initial value and decay rate
The equation for decay is given as:
[tex]y = a(1-b)^x[/tex]
Where,
y is the final amount
a is the initial value
b is the rate of decay
x is the number of years
On comparing given equation and above general equation,
a = 12.5
Thus initial value is 12.5
Also,
[tex]1-b = 0.625\\\\b = 1-0.625\\\\b = 0.375[/tex]
Thus decay rate = 0.375 x 100 = 37.5 %
Thus decay rate is 37.5 %
