SOLUTION: The intensity of illumination I from a light varies inversely as the square of the distance d from the light. (a) Write this statement as an equation. (b) Determine the constant

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The intensity of illumination I from a light varies inversely as the square of the distance d from the light. (a) Write this statement as an equation. (b) Determine the constant      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1139322: The intensity of illumination I from a light varies inversely as
the square of the distance d from the light.
(a) Write this statement as an equation.
(b) Determine the constant of proportionality if it is known
that a lamp has an intensity of 1000 candles at a distance
of 8 m.
(c) What is the intensity of this lamp at a distance of 20 m?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
-----------------------------
The intensity of illumination I from a light varies inversely as
the square of the distance d from the light.
----------------------------

I=k%2Fd%5E2


------------------------
(b) Determine the constant of proportionality if it is known
that a lamp has an intensity of 1000 candles at a distance
of 8 m.
------------------------

k=I%2Ad%5E2
k=1000%2A8%5E2
k=64000

The rest should be clear enough.