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? positive zero negative undefined

Explanation:

Step1: Recall slope formula

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. Here, the $y -$ variable is the temperature of the freezer and the $x -$ variable is time.

Step2: Analyze the change in temperature over time

Since the temperature of the freezer remains constant over time, $\Delta y = 0$ (there is no change in temperature) while $\Delta x>0$ (time is increasing as hours pass).

Step3: Calculate the slope

Substitute $\Delta y = 0$ and $\Delta x>0$ into the slope formula $m=\frac{\Delta y}{\Delta x}$. We get $m = \frac{0}{\Delta x}=0$.

Answer:

zero