Answer:
Farrah purchased the car in 2016 at the price of $22,440.
Step-by-step explanation:
Given:
Cost of the car in 2017 = $20,140
Depreciation in the cost after 2016 was = $2300
To find cost of the car in 2016.
Solution:
Let cost of the car in dollars in 2016 be = ![x](https://tex.z-dn.net/?f=x)
Depreciation in value after a year was by = $2300
Thus, cost of car in dollars in 2017 will be = ![Original\ cost-Depreciation\ =x-2300](https://tex.z-dn.net/?f=Original%5C%20cost-Depreciation%5C%20%3Dx-2300)
Given cost of car in 2017 = $20,140
So, we have:
![x-2300=20140](https://tex.z-dn.net/?f=x-2300%3D20140)
Solving for ![x](https://tex.z-dn.net/?f=x)
Adding 2300 both sides.
![x-2300+2300=20140+2300](https://tex.z-dn.net/?f=x-2300%2B2300%3D20140%2B2300)
∴ ![x=22440](https://tex.z-dn.net/?f=x%3D22440)
Thus, cost of the car in 2016 was = $22,440