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If z varies directly as the square of g and z=45 when g=3 what is g if z=125?

If z varies directly as the square of g and z=45 when g=3 what is g if z=125?

Asked by: Guest | Views: 78
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Guest [Entry]

"""z varies directly as the square of g""
z = kg²
""z = 45 when g=3""
45 = k(3²)
Find the value of k.
45 = k(9)
45/9 = k(9)/9
k = 5
""what is g if z=125""
z = kg²
125 = 5g²
125/5 = 5g²/5
25 = g²
√25 = √g²
5 = g

The answer is g = 5."