Answer:
y(x) = 21995 - 12895.5x
Step-by-step explanation:
The value of the car after x years is given by the following linear function:
[tex]y(x) = y(0) - ax[/tex]
In which y(0) is the initial value and a is how much it depreciates per year.
Zachary purchased a new car for $21,995. The value of the car linearly depreciated to $9,100 over 10 years.
This means that [tex]y(0) = 21995, y(10) = 9100[/tex]
So
[tex]y(x) = 21995 - ax[/tex]
[tex]9100 = 21995 - 10a[/tex]
[tex]10a = 12895[/tex]
[tex]a = \frac{12895}{10}[/tex]
[tex]a = 12895.5[/tex]
So
y(x) = 21995 - 12895.5x
