math help for me

Question

A new car worth $36,000 is depreciating in value by $2,000 per year.

(a) The linear equation that models the car's value, y, in dollars, after x years is

Answer: y =

blank1 - Word Answer

Write your response here...

x +

blank2 - Word Answer

Write your response here...

(b) Use the Formula in (a), to determine after how many years the car's value will be $12,000

Answer: The car's value will be $12,000 after

blank3 - Word Answer

Write your response here...

years later.

Answer 1

y= 36000 -2000x where y = value of the car after x years, when it depreciates at $2000 per year and the value initially = $36,000

it will have value of $12,000 when

12000 = 36000 -2000x

2000x = 36000-12000 = 24000

x = 24000/2000 = 12 years