The data in table below were gathered in the experiment performed to investigate relationship between light bulb intensity and distance from light source. 40 watt bulb intensity was estimated in otherwise dark room.
Distance Intensity
Meters
1 0.246
1.1 0.196
1.2 0.166
1.3 0.142
1.4 0.124
1.5 0.106
1.6 0.095
1.7 0.084
1.8 0.078
a) Determine the power function which provides light intensity as the function of distance.
b) Use function to forecast light intensity at the distance of 2 meters.