Math 124 Quiz 3 Sept. 21, 2006
Name:
1.
The noise level,
N
, in decibels, of a rock concert is given by
N
=
f
(
d
), where
d
is the distance in meters
from the concert speakers. What do the following quantities mean to someone who lives in the neighborhood
of the concert? Give units for the quantities.
(a)
f
(100).
(b)
f
(1000).
(c)
d
such that
f
(
d
) = 100.
(d) Explain in words what it means if
f
(100)
> f
(1000).
Solutions:
(a) For a person who lives 100 meters from the speakers,
f
(100) represents approximately how much the
decibels will decrease if they were to move 1 meter further away.
(b) For a person who lives 1000 meters from the speakers,
f
(1000) represents approximately how much the
decibels will decrease if they were to move 1 meter further away.
(c)
d
such that
f
(
d
) = 100 is the distance at which the decibel level is 100.
(d) For someone living 100 meters away, the approximate decrease in decibels by moving 1 meter away is
larger than that for someone living 1000 meters away.
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 Spring '08
 KENNEDY
 Math, Calculus, inches, Inch, Convex function, 1 inch

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