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:

To determine the slope, we analyze the relationship between temperature (dependent variable) and time (independent variable). When the freezer works properly, temperature remains constant over time. A constant function (where \( y \)-value, here temperature, doesn’t change with \( x \)-value, here time) has a slope of zero. A positive slope would mean temperature increases with time, negative would mean it decreases, and undefined slope is for vertical lines (not applicable here as time is the independent variable and changes). So the slope is zero.

Answer:

B. zero