# Corrine bought a car for $15,000 and its value depreciated linearly. after 3 years , the value of the car was $11,250. What is the amt of the yearly depreciation?

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### 2 Answers

Write a linear equation to represent the situation.

Let x represent the amount of yearly depreciation.

15,000 - 3x = 11,250

Add -15,000 to both sides.

(-15,000) + 15,000 - 3x = 11,250 + (-15,000)

-3x = -3,750

Divide both sides by -3.

-3x / -3 = -3,750 / -3

x = 1,250

**Answer: Annual yearly depreciation = $1,250**

In linear depreciation:

`depn = (Acquisition value - Scrap value)/(Life)`

We assume that the scrapvalue after 3 years is the book value of $11,250 then,

`depn =($15,000-$11,250)/3`

**Therefore the annual depreciation is**

**`depn= $1,250` **