Final answer:
The luxury car will take 25 years to totally depreciate.
Step-by-step explanation:
The equation y = -3,400x + 85,000 represents the straight line depreciation of a luxury car, where 'x' represents the number of years and 'y' represents the value of the car at that time. To find out how many years it will take for the car to totally depreciate, we need to find the value of 'x' when 'y' is equal to zero.
0 = -3,400x + 85,000
3,400x = 85,000
x = 85,000 / 3,400
x = 25
Therefore, it will take 25 years for the luxury car to totally depreciate.