Answer:
Decay
Step-by-step explanation:
We are given an equation [tex]y=100(1-0.5)^t[/tex]
We need to say about decay or growth of exponential function.
Exponential function: [tex]y=a\cdot b^x[/tex]
Where,
- a is initial value of exponential function.
- b is decay or growth of function
For decay: 0<b<1
For growth: b>1
Now we rewrite the equation into this form
[tex]y=100(1-0.5)^t[/tex]
Changes to
[tex]y=100(0.5)^t[/tex]
Here, b=0.5 < 1
Therefore, The given function would be decay.
Thus, [tex]y=100(1-0.5)^t[/tex] is deacy.
