For tax and accounting purposes, corporations depreciate the value of equipment each year. one method used is called "linear depreciation," where the value decreases over time in a linear manner. suppose that two years after purchase, an industrial milling machine is worth $670,000, and five years after purchase, the machine is worth $130,000. find a formula for the machine value v (in thousands of dollars) at time t ≥ 0 after purchase.

Explanation:

The method we have to use is linear depreciation.

We will first find the slope:

where:

V_2 is the machine value after 5 years.

V_1 is the machine value after 2 years.

Y_1 = 2 years

Y_2 = 5 years

Now:

where:

V is the machine value at  t ≥ 0.

Y is the years at  t ≥ 0.

Rearranging the above expression.

Formula for the machine value =

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