Given:
Initial value of car = 20,000
Depreciation or decreasing rate = 10% = 0.10
To find:
The equation that gives the value of the car.
Solution:
It is given that the value then depreciates or decreases by 10% of in initial value each year. It means the depreciation value is same for each year, i.e., 10% of initial value.
[tex]10%\text{ of }20000=\dfrac{10}{100}\times 20000[/tex]
[tex]10%\text{ of }20000=2000[/tex]
So, the value of car decreased by 2000 per year.
Let y be the value of can after x years.
Then, the value decreased in x years is 2000x.
So, the values of the car is
[tex]y=20000-2000x[/tex]
Therefore, the required equation is [tex]y=20000-2000x[/tex].
