This equation is known as the equation for exponential growth/decay:
[tex]y = ab^x[/tex]
Since the car is worth no more than $1,900 when bought, we can rewrite the above equation as:
[tex]1900 \geq ab^x[/tex]
a is the initial value, and b is the growth factor, x is the amount of time that passes.
So, we can plug in all that information (it's negative because the car's value goes down):
[tex]1900 \geq -17930(0.19)^x[/tex]
That's your final answer^.
