1. A television camera crew is setting up a new studio for filming the evening news. The light in the studio is very important for a quality picture. The crew finds that the brightness (B) of a light varies directly with the
intensity (I) of the light and inversely as the square of the distance (D) from the light. Brightness (B) is
measured in light energy per unit and intensity (I) is measured in candle power. At a distance of 20 feet, a
light meter gives a reading of 5 energy units for a 50-candle power lamp.
a. Determine the constant of variation. 1a. (2)
b. Find the reading of a 130-candle power lamp at a distance of 13 feet.

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?