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5 March, 15:41

A word processor that was purchased for $600

depreciates $100 per year. What is the slope of the graph?

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  1. 5 March, 15:44
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    The slope of the graph shows the rate of change, or, in this case, the rate of depreciation, which you are told is $100 per year. So, depending upon the units used in your graph, the slope will be 100/1, and since it is a decrease as the years increase, it will have a negative slope, i. e. - 100/1.

    Or, if you had drawn your graph with units of $100 dollars on the y-axis, then you might say that the slope was - 1 / 1.

    The corresponding formula would of course be

    y = 600 - 100t

    where y = value after t years, and (if you are into calculus) differentiating would give you

    slope = dy/dt = - 100

    as noted above.
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