Question

The value of a truck after t years is represented by the function f(t)=22,200(0.92)^t .

What does the value 22,200 represent in this situation?

a. The initial value of the truck is $22,200.

b. The value of the truck decreases by $22,200 each year.

c. The value of the truck increases by $22,200 each year.

d. The value of the truck after t years is $22,200.

Answer 1

The answer would be choice A

Answer 2

Any exponential function can be written in the form f(t)=ab^{t} [/tex]

Here as t increases f(t) decreases when b is between 0 and 1 . If b>1 f(t) increases The initial amount is given by the value a.

The growth factor is the value b.

The given function is f(x)=
`22,200( 0.92)^(t)`

Comparing the equation with exponential function initial amount a= 22,200

The value 22,200 represents option

a. The initial value of the truck is $22,200.