Question

A machine is now worth $ 142,200 and will be depreciated linearly over a 6-year period, at which time it will be worth $ 74,760 as scrap. Find the rule of depreciating function

Answer 1

The rule for the linear depreciation function is D(t) = 142200 - 11240t, where D(t) represents the value of the machine at time t in years.

Step-by-step explanation:

The student is asking to find the rule of a linear depreciation function for a machine that is currently worth $142,200 and will depreciate to a value of $74,760 over a 6-year period. To determine the annual depreciation rate, we subtract the scrap value from the current value and then divide by the number of years.

Depreciation per year = (Current value - Scrap value) / Total number of years

Depreciation per year = ($142,200 - $74,760) / 6

Depreciation per year = $67,440 / 6

Depreciation per year = $11,240

Now we can write the linear depreciation function as:

D(t) = 142200 - 11240t

Where D(t) is the value of the machine at time t in years.