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April 12th, 2015, 03:20 PM   #1
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Light inside the ocean exponential regression

When light gets down through/inside the ocean, we will lose light itensity with I(x) with the depth x. When we measure the light intensity in % of the light intensity in surface waters and the depth in meters We get this table:
X(m) = 0 10 20 30 60 80 I(X) (%) 100 75 56 42 17 10
A) find the exponential regression
I used geogebra and found I(x)= 99.9*0.97^x
B) Find the depth when the light intensity is 27% I(27)=99.9*0.97^27=43.89 Meters The book says the answer is about 43 M.

C) The light intensity is 1% in the depth of 160 m. Research with the models too see if it fits in the depth. I(1) = 99.9* 0.97^1= 96.9 M
The book says the answer is 0.96. But I(0.96) = 99.9 * 0.97^0.96 = 97 M

I don't get 160 M what have i done wrong?
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