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buffy's beverages has increasing profits each week during the hot summer months. Buffy finds that each week his profits increase by 20% over what they were the previous week. In his first week of business his profits were $200

Respuesta :

The exponential function that gives the profit after x weeks is given by:

[tex]P(x) = 200(1.2)^x[/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:

  • Buffy finds that each week his profits increase by 20% over what they were the previous week, hence r = 0.2.
  • In his first week of business his profits were $200, hence A(0) = 200.

Thus, the equation is given by:

[tex]A(x) = 200(1 + 0.2)^x[/tex]

[tex]A(x) = 200(1.2)^x[/tex]

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

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