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
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Explanation:

Step1: Recall the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Here, \(y\) represents temperature and \(x\) represents time.

Step2: Analyze the situation when temperature is constant

If the temperature \(y\) is constant, then \(y_2=y_1\). Let \(x_2 - x_1=\Delta x
eq0\) (since time is passing, \(\Delta x>0\) as we move from one - hour mark to another). Substituting into the slope formula: \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0}{\Delta x}=0\).

Answer:

zero