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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=5800(0.806)^x

Respuesta :

Using exponential function concepts, it is found that it represents a decay of 19.4%.

What is an exponential function?

A decaying 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 decay rate, as a decimal.

In this problem, the function is:

[tex]A(x) = 5800(0.806)^x[/tex]

Since the rate of change is less than 1, it is a decay.

Then:

1 - r = 0.806.

r = 1 - 0.806 = 0.194.

The function represents a decay of 19.4%.

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

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