ANSWER
R = 3 Ω
EXPLANATION
This is a circuit made of a power source and a resistor. To find the resistance on the resistor, we have to use Ohm's Law,
[tex]I=\frac{1}{R}\cdot V[/tex]
If we plot the measures in a current-voltage graph, the slope of that graph is the inverse of the resistance,
The slope of the line of best fit is approximately 1/3, which means that the resistance is 3 Ω.
If we apply Ohm's Law to get the resistance for each pair of measures (V, I), we should obtain a value around 3:
• For (6, 2):
[tex]R=\frac{V}{I}=\frac{6}{2}=3[/tex]
• For (8, 2.7):
[tex]R=\frac{8}{2.7}\approx2.96[/tex]
• For (10, 3.3):
[tex]R=\frac{10}{3.3}\approx3.03[/tex]
• For (12, 4):
[tex]R=\frac{12}{4}=3[/tex]
• For (14, 4.7):
[tex]R=\frac{14}{4.7}\approx2.98[/tex]
Hence, the resistance is 3 Ω.