SOLUTION: The intensity of a television signal varies indirectly as the square of the distance from the transmiter. If the intensity is 27 W/m^2 at a distance of 4.25 km, what is the inten

Algebra ->  Expressions-with-variables -> SOLUTION: The intensity of a television signal varies indirectly as the square of the distance from the transmiter. If the intensity is 27 W/m^2 at a distance of 4.25 km, what is the inten      Log On


   



Question 1114482: The intensity of a television signal varies indirectly as the square of the distance from the transmiter. If the intensity is 27 W/m^2
at a distance of 4.25 km, what is the intensity of a signal at a distance of 5.75? (round answer to two decimal places if needed)

Found 4 solutions by josgarithmetic, stanbon, josmiceli, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
.... varies indirectly.....
?


Maybe one of these?
Intensity of tv signal varies directly as the square of distance from...
OR
Intensity of tv signal varies inversely as the square of distance from...
?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The intensity of a television signal varies indirectly as the square of the distance from the transmiter. If the intensity is 27 W/m^2
at a distance of 4.25 km, what is the intensity of a signal at a distance of 5.75? (round answer to two decimal places if needed)
-----
i = k/d^2
Solve for "k"
27 = k/4.25^2
k = 27*4.25^2 = 487.6875
-----
Equation:
i = 487.6875/5.75^2
i = 14.75
----------------
Cheers,
Stan H.
---------

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+I+=+k%2A%28+1%2Fd%5E2+%29+
+I+=+27+ W/m2
+d+=+4250+ m
---------------------
+27+=+k%2A%281%2F4250%29%5E2+
+k+=+487687500++
--------------------------
+I+=+487687500%2A%28+1%2F5750%5E2+%29+
+I+=+487687500%2F33062500+
+I+=+14.75+
The intensity is 14.75 W/m2 at
a distance of 5.75 km
check the math

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
Physically correct formulation is

    intensity of a television signal is inversely proportional to the square of the distance from the transmiter.