Question

The the intensity I of light (in lumens) in a certain lake at a depth of x feet is given by log(1/12) = -0.00235x. What is the intensity of the light (in lumens) at a depth of 20 feet? Round your answer to the nearest hundredth and label 1 your answer.​

Answer 1

Answer:

11.45 lumens

Step-by-step explanation:

We are given that

$log(I/12)=-0.00235x$

Where x=Depth

I=Intensity of light

We have to find the intensity of the light at a depth of 20 feet.

Substitute the value of x

$log(I/12)=-0.00235\times 20$

$log(I/12)=-0.047$

$\frac{I}{12}=e^{-0.047}$

$I=12e^{-0.047}$

$I=11.45 Lumens$

Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens