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What model describes the relationship between the amount of money in an account and time, given that the money doubles every month?
linear
quadratic
cubic
exponential

Respuesta :

Blitztiger
If we have a common ratio every set amount of time (and not a common difference or addition), this is an exponential relationship. An exponential equation would have a form like Money = (1000)(2)^(# of months), where every additional month would cause the money amount to double.

Answer:

The model that describes the relationship between the amount of money in an account and time, given that the money doubles every month is:

                           Exponential

Step-by-step explanation:

Let the initial amount of money be: x

  • i.e. amount of money in first month= x
  • Hence, if money doubles every month then the amount of money in second month is:  2x
  • In third month it will be: [tex]2\times 2x=2^2x[/tex]
  • In fourth month it will be:  [tex]2\times 2^2x\\\\=2^3x[/tex]

and so on,

Hence, the amount of money in nth month is:

                           [tex]2^{n-1}x[/tex]

As the amount of money increases by a fixed multiplicative rate i.e. 2.

                Hence, the model is:

                     Exponential.

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