the value of an asset, such as a car, computer, or house, depreciates (goes down) over time. when an assets…

the value of an asset, such as a car, computer, or house, depreciates (goes down) over time. when an assets value decreases by a fixed amount each year, the depreciation is called straight - line depreciation. suppose a truck has an initial value of $12,800 and depreciates $640 per year. answer parts a through e.\nc. state in words the relationship between the independent and dependent variables. choose the correct relationship below\na. the dependent variable is obtained by adding the product of the amount of depreciation and the independent variable to the initial value of the truck.\nb. the dependent variable is obtained by subtracting the product of the amount of depreciation and the independent variable from the initial value of the truck.\nc. the dependent variable is obtained by subtracting the product of the value of the truck and the independent variable from the amount of depreciation.\nd. the dependent variable is obtained by adding the product of the value of the truck and the independent variable to the amount of depreciation.\nd. use appropriate letters to represent the variables involved and translate the written statement in part c as an equation. let v represent the value of the truck and t represent the number of years.\nv = 12800 - 640t\n(type an equation.)\ne. if the plan is to keep the truck for 7 years, determine the value of the truck at the end of this period. explain the process that is used.\nuse the equation from part d, and substitute for t. evaluate the resulting expression to obtain v = $\n(simplify your answers.)

the value of an asset, such as a car, computer, or house, depreciates (goes down) over time. when an assets value decreases by a fixed amount each year, the depreciation is called straight - line depreciation. suppose a truck has an initial value of $12,800 and depreciates $640 per year. answer parts a through e.\nc. state in words the relationship between the independent and dependent variables. choose the correct relationship below\na. the dependent variable is obtained by adding the product of the amount of depreciation and the independent variable to the initial value of the truck.\nb. the dependent variable is obtained by subtracting the product of the amount of depreciation and the independent variable from the initial value of the truck.\nc. the dependent variable is obtained by subtracting the product of the value of the truck and the independent variable from the amount of depreciation.\nd. the dependent variable is obtained by adding the product of the value of the truck and the independent variable to the amount of depreciation.\nd. use appropriate letters to represent the variables involved and translate the written statement in part c as an equation. let v represent the value of the truck and t represent the number of years.\nv = 12800 - 640t\n(type an equation.)\ne. if the plan is to keep the truck for 7 years, determine the value of the truck at the end of this period. explain the process that is used.\nuse the equation from part d, and substitute for t. evaluate the resulting expression to obtain v = $\n(simplify your answers.)

Answer

Explanation:

Step1: Identify the equation and substitution value

We have the equation $v = 12800-640t$ from part d, and we need to substitute $t = 7$ (since the truck is kept for 7 years).

Step2: Calculate the value of the truck

Substitute $t = 7$ into the equation: [ \begin{align*} v&=12800 - 640\times7\ &=12800- 4480\ &=8320 \end{align*} ]

Answer:

Use the equation from part d, and substitute $7$ for $t$. Evaluate the resulting expression to obtain $v = 8320$.