The intensity I of a light a distance x meters beneath the surface of a lake decreases exponentially. From the illustration, find the depth at which the intensity will be 60%. (Round your answer to the nearest meter.)

6m is the answer

Step-by-step explanation:  We have rounded numbers down and the correct answer is 6.25 =60%  in the illustration it measures 70% =6m rounded up from 5.6

If we refer to reduction r to find meters and input m in the equation to find percent at 6m shown. We can re-arrange at point 6(6m)100 = 36   (6m)100=36/6 =6m 1/100 = 0.6.   or 0.6/6 =1 To find ?r we can show 0.6  as 6r = 0.6 x 100  6r=10   6/10= 4r reduction etc..   60%  to work this out. Based on isolated data of only 6ft being shown and compare the relation with that 0-30%. and 0-40% in change of data with 6= 30% decrease = r  = 6.25 as 6ft is r4 within reduction to 1dp. =3.2 which could be 3.2x 100=+30 etc rearrange and 3.2 x100 =32 +30 is 6.2 

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify