If y varies jointly as x and z, and y = 33 when x = 9 and z = 12. Find y when x = 16 and z = 22?
- 984/9
- 976/9
- 968/9
- None of these
Explanation
Since y varies jointly as x and z:
y = kxz
Given y = 33 when x = 9 and z = 12:
33 = k * 9 * 12
33 = 108k
k = 33/108
k = 11/36
Now, find y when x = 16 and z = 22:
y = (11/36) * 16 * 22
y = (11 * 16 * 22) / 36
y = 3872 / 36
y = 968 / 9
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