Question

Determine whether the given situation is best described by a linear model or an exponential model. What function models the situation? The money in an account is quadrupling every month.At 0 months (the starting point) there was only one dollar.

Answer 1

Given that the money in an account is quadrupling every month, you know that the amount of money increases every month.

According to the information given in the exercise, the initial amount (at 0 months) is $1.

Notice that you can set up this equation to model the situation:

`y=4^t^{}`

Where "y" is the amount of money (in dollars) in the account, and "t" is the number of months.

Notice that, when:

`t=0`

The value of "y" is:

`y=4^0=1`

And when:

`x=2`

The value of "y" is:

`y=4^2=16`

Notice that it satisfies the description given in the exercise.

Hence, the answer is:

- It is best described by an Exponential Model.

- Function that models the situation:

`y=4^t`