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Which scenario could be modeled with an exponential function?
Please select one of this:

The amount of money in a certificate of deposit earns 4.3% interest each year.


The amount of money in Avery's wallet increases and decreases by a different amount each week.


The amount of money in Jaylon's savings account where $125 is deducted each month.


Tim adds $10 to his savings account each week.

Respuesta :

The scenario that could be modelled with an exponential function is when Tim adds $10 to his savings account each week.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As we know that a continuous compounding function is an exponential function. Therefore, we need to find the situation where the principal amount is invested for an infinitely long time.

A.) Since the amount is invested and a certificate of deposit is taken the amount will be invested for a fixed period of time. Thus, this is not a continuous compound function.

B.) The amount put into the account and taken out of the account varies for each term. Thus, this is not a continuous function.

C.) As in Jaylon's account the money is reduced by $125 every month, therefore, at a certain point, it will become zero. Thus, this is not a continuous compound function.

D.) As Tim adds $10 to his saving account every month, and there is no time specified, also the account will be always positive. Thus, this is a continuous compound function.

Hence, the scenario that could be modelled with an exponential function is when Tim adds $10 to his savings account each week.

Learn more about Function:

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