P varies directly as the cube root of Q. If P = 4 when Q = 8, find P when Q = 64
2 answers:
Step-by-step explanation:
P varies directly as the cubic root of Q means that:
, where x is a real constant number.
Which means that:
for q ≠0.
So we get that for q=8,p=4 which means:
As a result we get that for Q=64:
So for q=64,p=8.
Answer:
8
Step-by-step explanation:
If P varies directly with the cube root of Q, then there is a constant k such that:
So we are given P=4 when Q=8. Plug this into find our constant, k.
Divide both sides by 2:
So the equation no matter the P and the Q is:
What is P when Q=64?
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