Final answer:
To determine the resistance without the graph, use Ohm's Law (V = IR). Convert the measured current from mA to A, and divide the voltage by the current. Without the graph to determine the slope, the question cannot be answered definitively from the provided choices.
Step-by-step explanation:
To determine the resistance of the resistor in the given circuit, the relationship between voltage (V), current (I), and resistance (R) can be analyzed using Ohm's Law, which states V = IR. Without seeing the graph mentioned in the question, we must rely on the general method of calculating resistance.
According to the given information from a similar scenario, a carbon resistor at room temperature (20 °C) attached to a 9.00-V battery with a current of 3.00 mA would have a resistance calculated as follows:
- First, convert the current from milliamperes to amperes: 3.00 mA is 0.003 A.
- Next, use Ohm's Law to solve for resistance (R): R = V / I which becomes R = 9.00 V / 0.003 A.
- Therefore, the resistance is 3000 Ω, or 3 kΩ.
The actual resistance value from the choices provided in the original question would need the graph that was mentioned, from which we would calculate the slope to get the resistance (the slope being the change in voltage divided by the change in current).