SOLUTION: If y varies as x cubed, what must be the value of x if the value of y is to be doubled?

Question 374269: If y varies as x cubed, what must be the value of x if the value of y is to be doubled?
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
If y varies as x cubed, then we have : y(x)=x^3

let double y, and find the new value of x called x' : y'(x) = 2y(x) = x'^3,

x' = (2y(x))^(1/3) = 2^(1/3)(x^3)^(1/3) = 2^(1/3)x,

hence x has to be multiplied by the 3rd-root of two, or by 2^(1/3)
RELATED QUESTIONS
if x + y = 100, what will happen to the value of y when the value of x is... (answered by mananth)

If y varies directly as x, what is the value of y in these ordered pairs? (5,8) and... (answered by Alan3354)

if the varies directly as x what is the value of y in these ordered paris? (5,20)... (answered by Alan3354)

what must be the value of x and y if the area is to be a minimum and the perimeter is to... (answered by oberobic)

Id have a question if x varies inversely as y and x=2 when y=8, and i should find x when... (answered by solver91311)

If y varies directly with x and y = 8 when x = 12, what will be the value of y when x =... (answered by Fombitz)

If y varies inversely as the square of x and y = 1 when x = 2, what is the value of y... (answered by nyc_function)

if y varies directly as x and y = 10 when x = 1/2, what is the value of y when x =... (answered by robertb)

if 'w' varies jointly with 'x' and 'y', and inversely as the square of 'z', how would 'w... (answered by Theo)