This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
V = 220I
Here are the answers to the questions based on the previous calculations for the resistor.
1.1. Is the graph of the relationship between V and I an example of direct or indirect proportion? Justify your answer.
The relationship between V and I is an example of direct proportion. Justification: According to Ohm's Law (), when the resistance () is constant, the voltage () is directly proportional to the current (). As the voltage increases, the current increases by the same factor, and the ratio remains constant (equal to the resistance). A graph of V versus I would be a straight line passing through the origin.
1.2. Use the first and last two points from table/graph to determine the gradient of the graph and write the equation in the form of .
Step 1: Identify the first and last data points. From the previous calculations, the first point is and the last point is . We will use as the x-variable and as the y-variable, so the equation will be in the form .
Step 2: Calculate the gradient (). The gradient is given by the formula :
Step 3: Determine the y-intercept (). Using the equation and the first point : Since is very close to zero, we can consider it to be .
Step 4: Write the equation in the form . Substituting the values of and into :
1.3. Write V in terms of I by using the equation above.
Using the equation derived in 1.2: 3 done, 2 left today. You're making progress.
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According to Ohm's Law (V = IR), when the resistance (R) is constant, the voltage (V) is directly proportional to the current (I).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.