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The value of a small airplane depreciates exponentially every year after it is purchased. The value, in thousands of dollars, a(t), of Plane X, t years after purchase can be approximated by this function.
a(t) = 131.5(0.8)
What does the number 131.5 in the function above represent in the context of the situation?​

Sagot :

Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.

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 for the value of the airplane after t years is given by:

[tex]A(t) = 131.5(0.8)^t[/tex]

Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.

To learn more about exponential functions, you can take a look at https://brainly.com/question/8935549

Answer:

The number 131.5 represents the original value of a small airplane.

Step-by-step explanation:

131.50 is the initial cost of a small airplane.

The value decreases each year after purchase.

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