Final answer:
In a linear model where Stephanie burns 420 calories per hour, one can predict the total calories burned over time using the equation of a line.
Step-by-step explanation:
The subject of the question involves creating a linear model for a situation where Stephanie burns an average of 420 calories per hour. In mathematics, specifically in the context of algebra and functions, a linear model is an equation of a line that can be used to predict or describe a relationship between two quantities. We can define this relationship with the equation y = mx + b, where y represents the total calories burned, m represents the rate of calorie burn per hour (420 calories/hour in Stephanie's case), x represents the number of hours exercised, and b represents the starting value, which would be zero if she starts with no calories burned. Thus, one could use this linear model to calculate the total number of calories burned for any amount of time Stephanie spends exercising.