Final answer:
In the context of a position versus time graph, moving from point B to point C, where the x-variable (time) increases and the y-variable (position) decreases, corresponds to a scenario where time progresses but the object's position decreases, representing a negative velocity. The correct answer is A) Increased, decreased.
Step-by-step explanation:
In analyzing movements on a graph where position is plotted against time, a transition from one point to another indicates a change in velocity. When moving from point B to point C, if we observe an increase in the x-variable (time) and a decrease in the y-variable (position), this signifies that as time progresses, the position of the object is becoming less.
This describes a negative velocity, as seen in Figure 2.25, whereas an increasing y-variable with time would indicate a positive velocity, as in Figures 2.23 and 2.21. Importantly, when reviewing a supply curve in economics, moving up the curve generally denotes an increase in price and, depending on the type of supply curve, may correspond to a greater quantity supplied, which can be matched with percentage changes when using the midpoint method. In our physics scenario, the correct option referencing the movements on a position versus time graph from point B to point C is A) Increased, decreased.