a new car worth $27,000 is depreciating in value by $3,000 per year. complete parts a. through b. below. a…

a new car worth $27,000 is depreciating in value by $3,000 per year. complete parts a. through b. below. a. write a formula that models the cars value, y, in dollars, after x years. y = 27000 - 3000x b. use the formula from part (a) to determine after how many years the cars value will be $6,000. after years, the cars value will be $6,000.

a new car worth $27,000 is depreciating in value by $3,000 per year. complete parts a. through b. below. a. write a formula that models the cars value, y, in dollars, after x years. y = 27000 - 3000x b. use the formula from part (a) to determine after how many years the cars value will be $6,000. after years, the cars value will be $6,000.

Answer

Explanation:

Step1: Substitute values into formula

We know the formula $y = 27000-3000x$ from part (a), and we are given $y = 6000$. So we set up the equation $6000=27000 - 3000x$.

Step2: Isolate the variable term

First, subtract 27000 from both sides of the equation: $6000 - 27000=-3000x$. This simplifies to $- 21000=-3000x$.

Step3: Solve for x

Divide both sides of the equation by - 3000: $x=\frac{-21000}{-3000}=7$.

Answer:

7