Answer:
Option 4
The term that represents the amount of time that the money is accruing interest is 'x'.
Step-by-step explanation:
Given : The function below represents the annual interest Alexander earns on a savings account.
![f(x)=500(1+0.02)^x](https://tex.z-dn.net/?f=f%28x%29%3D500%281%2B0.02%29%5Ex)
To find : Identify the term that represents the amount of time that the money is accruing interest ?
Solution :
The general annual interest formula is ![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
Where, A is the amount
P is the principal
r is the interest rate
t is the time
The annual interest Alexander earns on a savings account is
![f(x)=500(1+0.02)^x](https://tex.z-dn.net/?f=f%28x%29%3D500%281%2B0.02%29%5Ex)
Comparing with general formula,
t=x
The term that represents the amount of time that the money is accruing interest is 'x'.
Therefore, Option 4 is correct.