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. a. what two variables are involved in this problem? which variable can best be designated as the dependent variable? as the independent variable? the dependent variable is the value of the truck. the independent variable is the number of years of ownership. b. complete the following table. independent variable 1 2 3 4 5 dependent variable
Answer
Explanation:
Step1: Determine the formula
The formula for the value of the truck $V$ after $t$ years of ownership with initial value $V_0$ and annual depreciation $d$ is $V = V_0 - dt$. Here, $V_0=$12800$ and $d = $640$.
Step2: Calculate for $t = 1$
Substitute $t = 1$ into the formula: $V=12800-640\times1=12800 - 640=$12160$.
Step3: Calculate for $t = 2$
Substitute $t = 2$ into the formula: $V=12800-640\times2=12800 - 1280=$11520$.
Step4: Calculate for $t = 3$
Substitute $t = 3$ into the formula: $V=12800-640\times3=12800 - 1920=$10880$.
Step5: Calculate for $t = 4$
Substitute $t = 4$ into the formula: $V=12800-640\times4=12800 - 2560=$10240$.
Step6: Calculate for $t = 5$
Substitute $t = 5$ into the formula: $V=12800-640\times5=12800 - 3200=$9600$.
Answer:
| Independent Variable | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Dependent Variable | $12160$ | $11520$ | $10880$ | $10240$ | $9600$ |