The intensity, io, of a light source is reduced to i after passing through d meters of fog according to the formula i = ioe-0.22d. if 3,000 lumens of light are present initially, what is an equivalent expression written as a percentage rate of lumens lost? hint: find the value of e-0.22 on your calculator.

For this case, the first thing we should do is rewrite the expression.

We have then:

i = io * e ^ ( - 0.22 * d)

Rewriting:

i = io * (e ^ ( - 0.22)) ^ d

i = 3000 * (e ^ ( - 0.22)) ^ d

i = 3000 * (0.802518798) ^ d

Answer:

an equivalent expression written as a percentage rate of lumens lost is:

i = 3000 * (0.802518798) ^ d