Final answer:
In the given equation for day 2 of a road trip, time (t) is the independent variable and distance (d) is the dependent variable. The domain consists of non-negative real numbers, and the range consists of real numbers greater than or equal to 375 miles. A velocity-time graph has time on the x-axis and velocity on the y-axis with the slope indicating velocity.
Step-by-step explanation:
The student is trying to understand the relationship between time and distance when it comes to motion. In the equation d = 55t + 375, the independent variable is time (t), as time is the input or controlled variable. The dependent variable is distance (d), as distance depends on the amount of time traveled. The domain represents all the possible values of the independent variable, in this case, time, which can be any non-negative real number since one cannot travel for a negative amount of time. The range represents all the possible values of the dependent variable, distance, which based on the equation, can be any real number greater than or equal to 375, as the student has already traveled 375 miles before day 2 starts.
When plotting velocity-time data on a graph, time would be on the x-axis and velocity on the y-axis. This is because time is the independent variable and velocity is a dependent variable. The slope of a position versus time graph represents the velocity, while the y-intercept represents the initial position.