Make T the subject of the relation.
Attached Figure / Diagram
A
T = \(\frac{R + P3}{15Q}\)
B
T = \(\frac{R - 15P^3}{Q}\)
C
T =R - \(\frac{15P^3}{Q}\)
D
T = \(\frac{15R + Q}{P^3}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
P = (\(\frac{Q( R - T )}{ 15})^\frac{1}{3}\)
take cube of both sides
\(P^3 =\frac{Q( R - T)}{ 15}\)
cross multiply
\(15P^3 = Q( R - T)\)
\(\frac{15P^3}{Q}\) = R - T
T = R - \(\frac{15P^3}{Q}\)
Source: Myschool Past Questions Archive (Record #46995)