Extended Response 12. For every metre a scuba diver dives below the water surface of a lake, the
light intensity is reduced by 5%. The percent of light intensity can be
represented by the equation I = 100(1.- 0.05), where I is the intensity of
light, as a percent, and d is the depth of the dive, in metres. The intensity
of light at the surface of the lake is 100%. Austin wanted to determine the
light intensity at a depth of 3 m. His solution is shown below.
I = 100(1 - 0.05)d
I = 100(1 - 0.05)3
I = 100(13 - 0.053)
I = 100(0.999875)
I 100
Austin realized that it is not possible for the light intensity to be
approximately 100% at a depth of 3 m. Explain where Austin made his
mistake.