Question

Farrah bought a new car in 2016 one year later the car had depreciated in value by 2300 and was worth $20,140 find the value of her car when she purchased it in 2016

Answer 1

Farrah purchased the car in 2016 at the price of $22,440.

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`

Depreciation in value after a year was by = $2300

Thus, cost of car in dollars in 2017 will be =
`Original\ cost-Depreciation\ =x-2300`

Given cost of car in 2017 = $20,140

So, we have:

`x-2300=20140`

Solving for
`x`

Adding 2300 both sides.

`x-2300+2300=20140+2300`

∴
`x=22440`

Thus, cost of the car in 2016 was = $22,440