Tuesday, January 19, 2016

College Algebra, Chapter 2, 2.4, Section 2.4, Problem 72

A small business buys a computer for $4000. After 4 years, the value of the computer is expected to be $200. If V is the value of the computer at time t, then a linear equation is used to relate V and T.

a.) Find a linear equation that relates V and t.

b.) Sketch a graph of this linear equation.

c.) What do the slope and V intercept of the graph represent?

d.) Find the depreciated value of the computer 3 years from the date of purchase.

a.) By observation, the V intercept is $4000 because it is the initial value of the computer even if it has not utilized yet. Also, if the value of the computer depreciate after 4 years, then the slope can be computed as

20040004=950. Thus, the equation is..

V=950t+4000

b.)








The values 4000 and 8019 are the V and t intercept respectively.

c.) The slope represents the depreciating rate of the value of the computer as years pass by. On the other hand, V-intercept represents the initial value of the computer.

d.) @ t=3 years


V=950(3)+4000V=$1150

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