A new car worth $27,000 is depreciating in value by $3,000 per year. After how many years will the car's value be $9,000?
Let x be the number of years it will take for the car's value to be $9,000.
The value of the car after x years can be represented by the equation:
$27,000 - $3,000x = $9,000
Solving for x:
$27,000 - $3,000x = $9,000
$3,000x = $18,000
x = 6
After 6 years, the car's value will be $9,000.