Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.. Thus the function in terms of t that represents the given situation is,
Given information-
The value of the stock is $100.
The value of stock decreases by 9.5% each year.
Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.
The initial value of the stock was $100 and the decay rate is 9.5 percent per year.
The exponential decay function can be given as,
[tex]y=a(1-r)^t[/tex]
Here [tex]a[/tex] is the initial value, r is the decay rate and t is the number of time interval.
Put the values,
[tex]y=100(1-9.5)^t[/tex]
[tex]y=100(-8.5)^t[/tex]
Thus the function in terms of t that represents the given situation is,
[tex]y=100(-8.5)^t[/tex]
Learn more about the exponential decay function here;
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