SOLUTION: suppose that r varies directly as p and inversely as q^2, and that r = 27 when p =3 and q = 2. Find r when p = 2 and q = 3.

Question 35805: suppose that r varies directly as p and inversely as q^2, and that r = 27 when p =3 and q = 2. Find r when p = 2 and q = 3.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
suppose that r varies directly as p and inversely as q^2, and that r = 27 when p =3 and q = 2. Find r when p = 2 and q = 3.
Since r varies directly as p and inversely as q^2,
r=kp/q^2
Need to find "k"
Since r=27 when p=3 and q=2,
27=k(3)/2^2
27=3k/4
108=3k
k=36
Equation:
r=(36)p/q^2
Now find r when p=2 and q=3.
r=(36)2/9
r=8
Cheers,
Stan H.

RELATED QUESTIONS
p varies directly with q and inversely with r when p =2 ,q=10,r=25 a. the fourmular... (answered by MathLover1)

If t varies jointly as r and p and inversely as q, then find an equation for t if t = -4 (answered by amfagge92)

If P varies inversely as the square of q and p=8, when q=2,find p when... (answered by stanbon)

P varies jointly as m and u, and varies inversely as q. Given that p=4, m=3 and u=2 when... (answered by Cromlix)

If t varies jointly as r and the square root of p and inversely as q, then find an... (answered by stanbon)

If p varies inversely as q and p = -8 when q = 2, find p when q = -4. A. 16 B. -16... (answered by ewatrrr)

#Please, I need you to answer everything because I only have one question and I'm going... (answered by josgarithmetic)

Hi! I have been stuck on a few questions. My math teacher didn't go through enough... (answered by mananth,greenestamps)

P(Q) = 1/4 P(R) = 2/3 If Q and R are independent events, find the P(Q and... (answered by ikleyn)