Intensity of light:The intensity I of a light source depends on the distance of the observ...

Intensity of light:The intensity I of a light source depends on the distance of the observer from the source. If the intensity is 100 W/m2 at a distance of 5 m, the relationship can be modeled by the function . Use the model to answer the following.

a. As the distance from the lightbulb increases, what happens to the intensity of the light? Evaluate the function at I(5), I(10), and I(15) to verify.

b. If the intensity is increasing, is the observer moving away or toward the light source?

c. Graph the function using an appropriate scale. Judging from the graph, use mathematical notation to describe what happens to the intensity if the distance from the lightbulb becomes very small.