The resistance y in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in mils (0.001 in). Use a graphing utility to graph the model

Question

The resistance y in ohms of 1000 feet of solid metal wire at  can be approximated by the model  where x is the diameter of the wire in mils (0.001 in). Use a graphing utility to graph the model

Quizplus · Accepted Answer

Using a graphing utility like Desmos or WolframAlpha, when graphing the given model for resistance as a function of diameter, we see that the graph is a curve that starts at the point (0,0) and increases as the diameter increases. Out of the answer choices, only graph B matches this behavior, with the curve starting at (0,0) and increasing as x increases. Therefore, B is the best choice.

The Resistance Y in Ohms of 1000 Feet of Solid