A power supply is connected to two bare wires that are inserted into a glass of saltwater. The resistance of the water decreases as the voltage is increased. Sketch a graph of the voltage versus the current in the water showing this type of behavior.

First, we need to identify the variables and constants in this problem. The two main variables are Voltage (V) and Current (I), while Resistance (R) is a dependent variable that is affected by the changes in voltage.

Ohm's law states that Voltage = Current * Resistance (V = IR). In this case, as the voltage increases, the resistance of the saltwater decreases. This means that the relationship between voltage and current should follow an inverse relationship—when one increases, the other decreases.

Create a Cartesian plane with Voltage (V) on the vertical (y) axis and Current (I) on the horizontal (x) axis. The graph we draw should depict the behavior described in the problem: as voltage increases, the resistance decreases, and the current in the water changes.

We need to display an inverse relationship between Voltage (V) and Current (I) in our graph. To reflect this behavior, the graph should depict a curve that starts from the origin (0,0). As the voltage increases, the curve should indicate a steep increase initially and then gradually flatten out. This shape indicates that as voltage increases, the corresponding increase in current becomes less pronounced, representing the decrease in resistance as voltage increases. The final graph should display a smooth curve that represents the inverse relationship—showing how the current increases initially with the increase in voltage but then becomes less pronounced due to the decrease in resistance. This graph provides a visual representation of the behavior described in the given problem.