at work, brett must check and record the internal temperature of the freezer on an hourly basis. when…
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?\npositive\nzero\nnegative\nundefined
Answer
Explanation:
Step1: Recall slope - definition
The slope $m$ of a line is given by $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ 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, the change in temperature $\Delta y = 0$ for any non - zero change in time $\Delta x$.
Step3: Calculate the slope
Substitute $\Delta y = 0$ into the slope formula $m=\frac{\Delta y}{\Delta x}$. We get $m=\frac{0}{\Delta x}=0$ (since $\Delta x\neq0$ as time is passing).
Answer:
zero