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Vani has a collection of vintage action figures that is worth $140. If the collection appreciates at a rate of 15% per year, which equation represents the value of the collection after 2 years?

Respuesta :

The exponential equation that represents the value of the collection after 2 years is given by:

[tex]V(2) = 140(1.15)^2 = 185.15[/tex]

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

In this problem, the initial value and the rate of change are given as follows:

A(0) = 140, r = 0.15.

Hence the function for the value after t years is given by:
[tex]V(t) = 140(1.15)^t[/tex].

Then, after 2 years, t = 2 and the equation is given by:

[tex]V(2) = 140(1.15)^2 = 185.15[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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