question archive Solve the following equations on joint and combined variation

Solve the following equations on joint and combined variation

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Solve the following equations on joint and combined variation.

1. y varies jointly as x and z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
2. y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.
3. y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
4.y varies directly as x^2 and inversely as z. If y = 12 when x = 2 and z = 7, find y when x = 3 and z = 9.
5. A varies jointly as b and h. If A = 16 when b = 2 and h = 8, find A when b = 8 and h = 16.
6. y varies jointly as x and the square root of z . If y = 6 when x = 3 and z = 9, find y when x = 4 and z = 36.

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Answer:

1.y=10

2.y=17

3.y=10

4.y=

5.a=128

6.y=6