Answer:
Option D.The decrease in the value of the car, which is 8%
Step-by-step explanation:
we have a exponential function of the form
[tex]f(x)=a(b)^{x}[/tex]
where
y is the value of the car
x is the time in years
a is the initial value
b is the base
r is the rate of decrease
b=1+r
In this problem we have
a=$24,000 initial value of the car
b=0.92
so
0.92=1+r
r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease
Answer:
D.The decrease in the value of the car, which is 8%
Step-by-step explanation:
Since, in the exponential function,
[tex]f(x)=ab^x[/tex]
a is the initial value,
b is the growth ( if > 1 ) or decay factor ( if between 0 and 1 ),
Here, the given equation that shows the value of car after x years,
[tex]f(x)=24000(0.92)^x[/tex]
By comparing,
b = 0.92 < 1
Thus, 0.92 is the decay factor that shows the decrease in the value of car,
∵ Decay rate = 1 - decay factor
= 1 - 0.92
= 0.08
= 8%
Hence, the value of car is decreasing with the rate of 8%.
Option 'D' is correct.
