Use a calculator to help solve the problem.
The intensity I of light (in lumens) at a distance x meters below the surface is given by I = I0 k x, where I0 is the intensity at the surface and k depends on the clarity of the water. At one location in the Atlantic Ocean, I0 = 16 and k = 0.6. Find the intensity of light at a depth of 12 meters. (Round your answer to three decimal places.)
_____ Lumens
Just plug in the given values and evaluate
I = 16(.6)(12)
= .....
i did that and it is not working. i get 0.0348
really ??
look at your answer, how can it even make sense?
.6 is a bit more than half
so you are taking about half of 16(12) = half of 192
or appr 96
I get 115.2
To find the intensity of light at a depth of 12 meters, we can use the formula provided: I = I0 k x.
Step 1: Plug in the given values into the formula:
I = 16 * 0.6 * 12
Step 2: Simplify the expression:
I = 11.52
Step 3: Round the answer to three decimal places:
I ≈ 11.520
Therefore, the intensity of light at a depth of 12 meters is approximately 11.520 lumens.