1. d varies jointly as h and g,d=15, h=4 and g=5
2. a inversely proportional to the square of b, a=4 and b=3
3. x varies directly as the cube of y, x=32 and y=2
find the constant of variation and write the equation of the following.
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Answer:
1. d=khg
16=k(4)(5)
16=20k
16/16=20k/16
20k/16
k=5/4
constant: 5/4
equation: d=5/4hg
2. a= k/b²
4=k/(3)²
4=k/9
k=36
constant: 36
equation: a=36/b²
3. x=ky³
32=k(2)³
32=k8
k= 4
constant: 4
equation: x=4y³