If x is inversely proportional to y and x = 2(1/2) when y = 2, find x if y = 4
A.
4
B.
5
C.
1(1/4)
D.
2(1/4)
Correct Answer: 1(1/4)
Explanation
x α 1/y .........(1)
x = k x 1/y .........(2)
When x = 2(1/2)
= 5/2, y = 2
(2) becomes 5/2 = k x 1/2
giving k = 5
from (2), x = 5/y
so when y =4, x = 5/y = 1(1/4)
x α 1/y .........(1)
x = k x 1/y .........(2)
When x = 2(1/2)
= 5/2, y = 2
(2) becomes 5/2 = k x 1/2
giving k = 5
from (2), x = 5/y
so when y =4, x = 5/y = 1(1/4)