If x is jointly proportional to the cube of y and the fou...
If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?
4:1 increase
2:1 increase
1:1 no change
1:4 decrease
3:4 decrease
Correct answer is B
x∝y3z4
x=ky3z4
If y is halved and z is doubled, we have
x=k(12y)3(2z)4
x=k(y38)(16z4)\)
x=2ky3z4
∴
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