Answer:
1.324 lumens
Step-by-step explanation:
The Beer-Lambert formula gives the intensity of light in water, at a certain depth x.
In this problem, the formula given is:
[tex]Log_{10}\frac{I}{12}=-0.02735 x[/tex]
where
I is the intensity (in lumens)
x is the depth (in feet)
Here we are asked to find the intensity of light at a depth of
x = 32 feet
Therefore, re-arranging the equation and substituting x = 32, we find:
[tex]I=12\cdot 10^{-0.02735x}=12\cdot 10^{-0.02735\cdot 32}=1.324[/tex] lumens
