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

To graph the model equation y=110.43x^(-1.053), we can use a graphing calculator or software. Using the Desmos calculator, we enter the function as y=110.43x^(-1.053) and set the domain to x>0. Then we plot the graph and get the following result:

https://www.desmos.com/calculator/yphjbykbac

The graph shows a curve that decreases as the diameter x of the wire increases. We can see that the curve flattens out for large values of x, indicating that the resistance eventually approaches a constant value.

Looking at the answer choices, we can see that B is the closest graph to the one we plotted. Therefore, the best choice is B.

The Resistance Y in Ohms of 1000 Feet of Solid