SOLUTION: y varies jointly as a and b and inversely as the square root of c. y=48 when a=4, b=8 and c=36. Find y when a=2, b=7 and c=16. a. 7.875 b. 31.5 c. 3.5 d. 504

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: y varies jointly as a and b and inversely as the square root of c. y=48 when a=4, b=8 and c=36. Find y when a=2, b=7 and c=16. a. 7.875 b. 31.5 c. 3.5 d. 504      Log On


   

Question 155220: y varies jointly as a and b and inversely as the square root of c. y=48 when a=4, b=8 and c=36. Find y when a=2, b=7 and c=16.
a. 7.875
b. 31.5
c. 3.5
d. 504
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
y varies jointly as a and b and inversely as the square root of c
then
y=k%28ab%29%2F%28sqrt%28c%29%29
y=48 when a=4, b=8 and c=36.
48=k(32)/6
then k=48(6)/32=9
then
y=9%28ab%29%2F%28sqrt%28c%29%29
a=2, b=7 and c=16.
then
y=126%2F4=31.5
correct option is b)