y varies inversely as x:
y=C/x
C: Constant
Cross multiplication
yx=C
x=5 when y=3
Replacing in the equation above:
(3)(5)=C
when x=2 1/2=2+0.5→x=2.5, y=?
xy=C
(2.5)(y)=C
Equaling the two equations:
C=C
(2.5)(y)=(3)(5)
2.5/3=5/y
Solving for y. Dividing both sides of the equation by 2.5:
(2.5)(y)/(2.5)=(3)(5)/(2.5)
y=6
Answer:
2.5/3=5/6
