SOLUTION: Y varies directly as the cube of x. If y=1,000 when x=2, find y when x is 3.

Algebra ->  Linear-equations -> SOLUTION: Y varies directly as the cube of x. If y=1,000 when x=2, find y when x is 3.       Log On


   

Question 103402: Y varies directly as the cube of x. If y=1,000 when x=2, find y when x is 3.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=k%2Ax%5E3 y varies directly as cube of x, k is a constant.
1000=k%2A2%5E3 Plug in the values that you know to find k.
k=1000%2F8
k=125
y=125x%5E3 Your updated equation.
When x=3, then
y=125%2A3%5E3
y=125%2A27
y=3375