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Question
at work, brett must check and record the internal temperature of the freezer on an hourly basis. when working properly, the temperature should remain constant over time. what word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?
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zero
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The slope of a line in a graph of temperature (y - axis) vs. time (x - axis) represents the rate of change of temperature with respect to time. If the temperature remains constant over time, the change in temperature ($\Delta y$) is 0 for any change in time ($\Delta x$). The formula for slope is $m=\frac{\Delta y}{\Delta x}$. When $\Delta y = 0$, the slope $m = 0$. So the slope of the line representing the freezer's temperature as a function of time (when working properly) is zero.
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