1. Directions: Find the equation of each variation.
1. If y varies directly as x, y = 30 when x = 5.
2. If y varies inversely as x, y = 12 when x = 3.
3. If y varies jointly as x and z, y = 24 when x = 3 and z = 4.
4. If y varies directly as x and inversely as z, y = 8 when x = 6 and z = 3.
1. If y varies directly as x, y = 30 when x = 5.
2. If y varies inversely as x, y = 12 when x = 3.
3. If y varies jointly as x and z, y = 24 when x = 3 and z = 4.
4. If y varies directly as x and inversely as z, y = 8 when x = 6 and z = 3.
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Answer:
30=5K
K=6
2. Y=K/X
12=k/3
3. Y=kxz
k=yxz
K=(24)(3)(4)
K=288
4. Y=kx/z
8=6K/3
8=2k
k=4
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