Question

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?​

Answer 1

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.

Answer 2

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:

$A(t) = A(0)(1 - r)^t$

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:

$A(t) = 131.5(0.8)^t$

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 brainly.com/question/8935549