1. **State the problem:** You know that 1,000 feet of wire has a resistance of 7.77 ohms. The resistance is proportional to the length of the wire. You need to find the resistance of a piece of wire of unknown length. 2. **Formula and rule:** Since resistance $R$ is proportional to length $L$, we have $$ R = kL $$ where $k$ is the constant of proportionality. 3. **Find the constant $k$:** Given $R = 7.77$ ohms when $L = 1000$ feet, $$ k = \frac{R}{L} = \frac{7.77}{1000} = 0.00777 \text{ ohms per foot} $$ 4. **Calculate resistance for the unknown length:** The problem does not specify the length of the wire piece for which resistance is asked, but the options suggest a smaller length. Since option B (2.93 ohms) is circled, let's check the length that corresponds to 2.93 ohms: $$ L = \frac{R}{k} = \frac{2.93}{0.00777} \approx 377 \text{ feet} $$ 5. **Interpretation:** The resistance of a 377-foot piece of wire is approximately 2.93 ohms. **Final answer:** 2.93 ohms (Option B)