Question

Y = 100 (1- 1/2) ^t

decay or growth

Answer 1

Decay

Explanation:

We are given an equation
`y=100(1-0.5)^t`

We need to say about decay or growth of exponential function.

Exponential function:
`y=a\cdot b^x`

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`

Changes to

`y=100(0.5)^t`

Here, b=0.5 < 1

Therefore, The given function would be decay.

Thus,
`y=100(1-0.5)^t` is deacy.