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A word processor that was purchased for $600

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

User Joane
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1 Answer

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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.
User Donald Hughes
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