On some tubes of caulking, the diameter of the circular
nozzle opening can be adjusted to produce lines of
varying thickness. The table shows the length l of
caulking obtained from a tube when the nozzle opening
has diameter d and cross-sectional area A.
48. Determine whether l varies inversely with d. If so,
write an equation relating l and d.
49. Determine whether l varies inversely with A. If so,
write an equation relating l and A.
50. Find the length of caulking you get from a tube
whose nozzle opening has a diameter of �
34
� inch.
d (in.) A (in.2) l (in.)
�
18
� �2
π
5�6 1440
�
14
� �6
π
4 �
360
�
38�
�2
9
5
π
6 �
160
�
12
� �1
π
6 �
90
no
yes; l = } 4
8
5
A
π} 40 in.
1 answer
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