The amount of light, P, expressed as a decimal, passing through a substance of thickness d, in meters, is given by the equation log P = -kd, where k is a constant.
The constant k for a piece of stained glass is 17. What percent of light will pass through a piece of glass that is 0.003 m thick?
Round to the nearest tenth.
A) 1.1 %
B) 88.9 %
C) 8.9 %
D) 0.9 %

Question

Quizplus · Accepted Answer

Substitute k=17 and d=0.003 into the equation:
log P = -kd
log P = -17(0.003)
log P = -0.051

Solve for P:
P = 10^(-0.051)
P = 0.888...

Convert to percent and round to the nearest tenth:
P = 88.9%

Therefore, the answer is B.

The Amount of Light, P, Expressed as a Decimal, Passing