Question

a truck costs 40,000. it depreciates in value 5000 dollars per year write a linear model in the form v(t)=mt+b where v(t) represents the current value of the truck after t years of owning it

Answer 1

answer : V(t) =40,000- 5000t


explanation:

Depreciation
Depreciation is an annual and systematic reduction in the value of a fixed or capital asset following the assumption of matching which says the revenue should be matched with the expense incurred to earn that.

Value of asset at any point of time = cost - accumulated depreciation till that time

Cost = $40,000

Accumulated depreciation = sum of depreciation charged so far, since the depreciation is constant on annual basis it = 5000t for t years