The value of a motorcycle changes according to the equation V=11,000(0.89)t
=
11
,
000
(
0.89
)
, where V = value in dollars and t = time in years.
Use the dropdowns to complete the statements.
In the equation, the number 11,000 represents the
of the motorcycle. The value of the motorcycle is
at a rate of
per year.
What does V=14,000 mean in the context of this problem?
Is it possible for V=14,000 in the context of this problem?
What does a value of t = -3 mean in the context of this problem?
In the equation, the number 11,000 represents the **initial value** of the motorcycle. The value of the motorcycle is **decreasing** at a rate of **11%** per year.
V=14,000 means that the value of the motorcycle is $14,000.
It is not possible for V=14,000 in the context of this problem, as the equation given does not allow for the value to increase above the initial value of $11,000.
A value of t=-3 means that the time is 3 years in the past from the initial time. This would indicate the value of the motorcycle after 3 years of depreciation.