Question

each day 1/2 the money that is in the bank vault is removed. no money is added to the vault. which of the following moddeles the situation.
I found the answer is
-exponential decay function

Answer 1

Name m the money at the beggining of the first day. This table shows the money at the end of every day, after half the money has been removed

Day  money
1      m/2 = m/2^1
2      m/4 = m/2^2
3      m/8= m/2^3
4      m/16= m/2^4
...

n        m/2^n

The model is m/2^n, where n is numbers of days elapsed and m is the money at the end of that day (after half on the money has been removed).

Answer 2

Answer: Exponential decay function

Step-by-step explanation:

Given: Each day 1/2 the money that is in the bank vault is removed. no money is added to the vault.

The constant ratio of decay = $\frac{1}{2}$

• A function is said to be exponential decay function if it decreases at a rate proportional to its previous value.

Here the amount in the bank is decreasing at a constant ratio of  $\frac{1}{2}$.

Therefore, the exponential decay function models the situation.