Subjects algebra

Car Value

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1. **State the problem:** Vera bought a car in 2016. One year later, the car depreciated by 2300 dollars and was worth 28140 dollars. We need to find the value of the car in 2016. 2. **Define the variable and write the equation:** Let $x$ be the value of the car in 2016. Since the car depreciated by 2300 dollars in one year, the value after one year is $x - 2300$. We know this value is 28140 dollars, so the equation is: $$x - 2300 = 28140$$ 3. **Solve the equation:** Add 2300 to both sides to isolate $x$: $$x = 28140 + 2300$$ $$x = 30440$$ 4. **Interpret the result:** The value of the car in 2016 was 30440 dollars.