Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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.