G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
A
15
B
25
C
75
D
225
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
G \(\alpha\) H2
G = KH2
4 = K(3)2
4 = 9k; K = \(\frac{4}{9}\)
100 = \(\frac{4}{9}H^2\)
4H2 = 900
H2 = \(\frac{900}{4}\)
H2 = 225
H = \(\sqrt{225}\)
H = 15
Source: Myschool Past Questions Archive (Record #36678)