Answer:
y(t) = 460(0.94)^t
Step-by-step explanation:
Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.
Plug in the values we know:
y(t) = 460(0.94)^t will be the exponential model
The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].
Since
The initial value is 460, and there is a 6% decrease each period.
So here we use the basic exponential decay form i.e.
[tex]Y = a(1 - b)^x,[/tex]
here a is the starting amount
y is interest
b is the growth/decay rate,
and x is amount of time/periods.
So,
[tex]y(t) = 460(0.94)^t[/tex]
hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].
Learn more about model here: https://brainly.com/question/24499895
