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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? undefined zero positive negative
Step1: Recall slope formula
The slope formula is $m=\frac{\Delta y}{\Delta x}$, where $m$ is the slope, $\Delta y$ is the change in the $y -$ variable and $\Delta x$ is the change in the $x -$ variable. In the context of temperature ($y$) as a function of time ($x$), $\Delta y$ is the change in temperature and $\Delta x$ is the change in time.
Step2: Analyze the situation
When the freezer is working properly, the temperature remains constant over time. So, $\Delta y = 0$ (no change in temperature) while $\Delta x>0$ (time is passing).
Step3: Calculate the slope
Substitute into the slope formula: $m = \frac{\Delta y}{\Delta x}=\frac{0}{\Delta x}=0$ (since $\Delta y = 0$ and $\Delta x
eq0$).
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