Cadmium sulfide $($CdS$)$ is a semiconducting material with a pronounced sensitivity to light$$as more light strikes it$,$ its resistance goes down. In real devices, the resistance of a given device may vary over four orders of magnitude or more. An experiment was set up with a single light source in an otherwise dark room. The resistance of three different CdS photoresistors was measured when they were at various distances from the light source. The farther they were from the source, the dimmer the illumination on the photoresistor.

Create a proper plot of the data. Use polyfit to determine the power model for each data set. For each model, add the trendline and the associated trendline equation to the graph. Use an appropriate location for each equation to clearly associate it with the correct trendline.