Answer:
D) a 13% decrease in value each year
Step-by-step explanation:
Perry used the formula V (t) = 24,450(1-0.13)^t to find the value of his car t years after he purchased it.
What does 0.13 represent?
The expression given above represents and expression of exponential decrease.
This is represented by the formula
y = a(1 - r)^t
Where
y = Value after time t
a = Initial value
r = Rate of decrease
t = Time
Comparing both expressions
y = a(1 - r)^t = V (t) = 24,450(1-0.13)^t
We can see that:
r = 0.13
This is the rate of decrease.
Converting to Percentage = 0.13 × 100
= 13%
Option D is the correct option.