**1)** The illumination of a light source is inversely proportional to the square of the distance from the light source. If a light has an illumination of 75 foot-candles at a distance of 4 feet from the light source:

a. Find a model for the illumination of this light

b. What is the illumination of this light at a distance of 8 feet from the light source?

c. How far from the light source would you need to be for the illumination to be 50 foot-candles?

**2)** The weight of a body varies inversely as the square of the distance from the earth. If a man weighs 200lbs on the top of Mt. McKinley (20320 feet above the surface of the earth), how much would he weigh when he is 3000 miles above the surface of the earth.