a company paid $150,000 for a new 18 - wheeler. when it is 10 years old it will be worth $50,000. using…

a company paid $150,000 for a new 18 - wheeler. when it is 10 years old it will be worth $50,000. using straight - line depreciation, the value of the truck in dollars, v, is a linear function of its age in years, n. find the function and the value when the truck is 5 years old. write the value of the truck v as a function of its age in years, n. v = □

a company paid $150,000 for a new 18 - wheeler. when it is 10 years old it will be worth $50,000. using straight - line depreciation, the value of the truck in dollars, v, is a linear function of its age in years, n. find the function and the value when the truck is 5 years old. write the value of the truck v as a function of its age in years, n. v = □

Answer

Answer:

$V = 150000 - 10000n$

Explanation:

Step1: Calculate annual depreciation

The initial value of the truck is $150000$ and its value after 10 years is $50000$. The total depreciation over 10 years is $150000 - 50000=100000$. So the annual depreciation $d=\frac{150000 - 50000}{10}=10000$.

Step2: Form the linear - depreciation function

The general form of a linear - depreciation function is $V = V_0−dn$, where $V_0$ is the initial value and $d$ is the annual depreciation. Here, $V_0 = 150000$ and $d = 10000$. So $V=150000 - 10000n$.