Question

At what depth is there only 1% of surface sunlight

Answer 1

• 60 feet

,

• The point is ,(60, 1)

Step-by-step explanation

As said, x is depth in feet, and f(x) represents the percentage of surface sunlight that reaches a depth of x feet. We have to find the value of x for which f(x) = 1,

`1=16(0.955)^x`

Divide both sides by 16,

`(1)/(16)=0.955^x`

Take logarithm to both sides to apply the rule of the logarithm of power on the right side,

`\log (1/16)=x\log (0.955)`

Divide both sides by log(0.955),

`x=(\log ((1)/(16)))/(\log (0.955))\approx60ft`

In the graph this is,