Variation and Problem Solving
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| If the y varies directly as x, find the constant of variation (k) and the direct variation equation if y=2 when x=10 | k=1/5
y=1/5x
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| If the y varies directly as x, find the constant of variation (k) and the direct variation equation if y=10 when x=90 | k=1/9
y=1/9x
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| If the y varies directly as x, find the constant of variation (k) and the direct variation equation if y=75 when x=15 | k=5
y=5x
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| If the y varies inversely as x, find the constant of variation (k) and the inverse variation equation if y=12 when x=10 | k=120
y=120/x
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| If the y varies inversely as x, find the constant of variation (k) and the inverse variation equation if y=50 when x=5 | k=250
y=250/x
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| If the y varies inversely as x, find the constant of variation (k) and the inverse variation equation of y=2 when x=4 | k=8
y=8/x
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| Find the constant of variation (k) and the variation equation: y varies jointly as x and the cube of z; y=120 when x=5 and z=2 | k=3
y=3xz^3
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| Suppose x varies jointly with y and the square root of z. When x=-18 and y=2, then z=9. Find y when x=10 and z=4 | k=-3
y=-5/3
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| If x varies directly as y and inversely as z, and x = 10 when y = 5 and z = 3, for what value of z will x = 3 and y = 4? | k=6
z=8
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| Beam: 1/2 ft wide, 1/3 ft high, 10 ft long; supports 12 tons Beam: 2/3 ft wide, 1/2 ft high, 16 ft long; supports ? | k=2160
Supports 22.5 tons
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| If y varies directly with x and inversely with z2. If y = 6, when x = 4 and z = 3, what is the value of y when x = 2 and z = 4? | k=13.5
y=27/16
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