Problem: R varies directly as Sβ and inversely as T. When R=34β and T=149β,S=73β. Find Sβ when R=48β and TΛ=75β.
Answer Choices:
A. 28
B. 30
C. 40
D. 42
E. 60
Solution:
The relation between R,S, and T can be represented in several ways, to wit,
(1) R=kTSβ,k a constant
(2) SRTβ=k,k a constant
(3) S1βR1βT1ββ=S2βR2βT2ββ
Using form 3 we have 73β34ββ
149ββ= S2β48ββ
75βββ΄ S2β=30