2014
Mathematics
JAMB
P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
A.
P = Q/12R
B.
P = 12Q/R
C.
P=12QR
D.
P = 12/QR
Correct Answer: P = 12Q/R
Explanation
P ∝ Q/R P = K(Q/R) When Q = 36, R = 16, P = 27 Then substitute into the equation 27 = K(36/16) K = (27×16)/36 K=12 So the equation connecting P, Q and R is P = 12Q/R
P ∝ Q/R P = K(Q/R) When Q = 36, R = 16, P = 27 Then substitute into the equation 27 = K(36/16) K = (27×16)/36 K=12 So the equation connecting P, Q and R is P = 12Q/RTHIS WEEK's
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