passpadi

2010

Mathematics

JAMB

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)
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