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

Algebra ->  Functions -> 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      Log On


   

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