SOLUTION: If y varies directly as the square of x and inversely as z, and if y = 144 when x = 8 and z = 4, find y when x = 4 and z = 6.
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Question 247923: If y varies directly as the square of x and inversely as z, and if y = 144 when x = 8 and z = 4, find y when x = 4 and z = 6. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If y varies directly as the square of x and inversely as z, and if y = 144 when x = 8 and z = 4, find y when x = 4 and z = 6.
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y = k[x^2/z]
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Find "k"
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144 = k[8^2/4]
144 = k[16]
k = 9
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Equation:
y = 9[x^2/z]
find y when x = 4 and z = 6
y = 9[4^2/6]
y = (3/2)(16)
y = 24
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Cheers,
Stan H.
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