The value in dollars of car A, as a function of t, the time in years since it was purchased, can be found using this function.
A(t)= 18,000(0.81)^t
The value of car B as a function of the time since it was purchased is shown in the table below.
Value of Car B Over Time
Time since purchase (years). Value (dollars)
0 16,000
1 13,600
2 11,560
3 9,826
4 8,352
Which statement correctly compares the changing values of cars A and B?
A. Car A has a higher initial purchase price than car B. Then the value of car A decreases by a greater percent each year than does the value of car B.
B. Car A has a lower initial purchase price than car B. Then the value of car B decreases by a greater percent each year than does the value of car Car A
C. Car A has a lower initial purchase price than car B. Then the value of car A decreases by a greater percent each year than does the value of car B.
D. Car A has a higher initial purchase price than car B. Then the value of car B decreases by a greater percent each year than does the value of car A