Answer:
Decay
Step-by-step explanation:
We are given an equation ![y=100(1-0.5)^t](https://tex.z-dn.net/?f=y%3D100%281-0.5%29%5Et)
We need to say about decay or growth of exponential function.
Exponential function: ![y=a\cdot b^x](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex)
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
![y=100(1-0.5)^t](https://tex.z-dn.net/?f=y%3D100%281-0.5%29%5Et)
Changes to
![y=100(0.5)^t](https://tex.z-dn.net/?f=y%3D100%280.5%29%5Et)
Here, b=0.5 < 1
Therefore, The given function would be decay.
Thus,
is deacy.