SOLUTION: If y varies inversely as the cube of x, write the particular equation, given that the graph contains (4,7). Find the x if y = 10

Question 300695: If y varies inversely as the cube of x, write the particular equation, given that the graph contains (4,7). Find the x if y = 10
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If y varies inversely as the cube of x
---
y = k/x^3
---
write the particular equation, given that the graph contains (4,7).
---
Solve for "k" given that y = 7 when x = 4
7 = k/4^3
k = 7*64 = 448
---
Equation for this Problem:
y = 448/x^3
----
Find the x if y = 10
10 = 448/x^3
x^3 = 448/10
x = 3.5516
Cheers,
Stan H.

RELATED QUESTIONS
Write an equation describing the relationship of the given variables. y varies... (answered by josgarithmetic)

if y varies inversely as the cube of x, and y=64 when x=3,Find the value of x when... (answered by josmiceli,ewatrrr)

If x varies directly as the square of y and y varies inversely as the cube of k, what is... (answered by josgarithmetic)

If y varies inversely as x and y=5 when x=3, find the equation of variation and the value (answered by ewatrrr)

Please help me with this question Given that Y varies inversely as the cube root of (answered by Alan3354)

6. If y varies inversely with x, and y = 5 when x = 8, what is k? 7. If y varies... (answered by solver91311)

X varies directly as the cube of Y and inversely as the square root of Z. If X=108 when... (answered by josgarithmetic)

Find the constant of variation. Then write an equation for each statement. 1. y... (answered by TimothyLamb)

The variable z varies directly with x and inversely with the cube of y. a) Write the... (answered by stanbon)