Question

part c
the business owner bought a computer that costs $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years.
comparing both methods, which statement is true about the remaining value of this computer after 3 years of use?
a. the remaining value using method 1 is about $403 less than the remaining value using method 2.
b. the remaining value using method 1 is about $137 more than the remaining value using method 2.
c. the remaining value using method 1 is about $895 more than the remaining value using method 2.
d. the remaining value using method 1 is about $823 less than the remaining value using method 2.

part d
the business owner has a copy machine. the copy machine will be worth $0 after 7 years of use. the table shows the copy machine’s value over time.
copy machine value

years used	remaining value (dollars)
6	460

write a linear function, ( v(n) ), that represents the value of the copy machine after ( n ) years of use.
enter your equation in the box.
( v(n) = ) -460n + 3220

Explanation:

Part D Solution:

Step1: Find the slope (m)

The formula for slope between two points \((n_1, v_1)\) and \((n_2, v_2)\) is \(m=\frac{v_2 - v_1}{n_2 - n_1}\). Using the points \((3, 1840)\) and \((6, 460)\):
\(m=\frac{460 - 1840}{6 - 3}=\frac{-1380}{3}=-460\)

Step2: Find the y - intercept (b)

Use the point - slope form \(v - v_1=m(n - n_1)\). Using the point \((3, 1840)\) and \(m = - 460\):
\(v-1840=-460(n - 3)\)
\(v-1840=-460n + 1380\)
\(v=-460n+1380 + 1840\)
\(v=-460n + 3220\)
So the linear function is \(v(n)=-460n + 3220\)

Answer:

\(v(n)=-460n + 3220\)

For Part C, since the original problem of Part C does not provide the details of Method 1 and Method 2 (the depreciation methods for the computer), we can't solve it. If you can provide the details of Method 1 and Method 2 (such as the formulas for calculating the remaining value of the computer under each method), we can solve it.