If x is inversely proportional to y and x = 212 1 2 when y = 2, find x if y = 4

Assessment: JAMB UTME - Mathematics - 2010 Subject: General Mathematics

Question 1 Report

If x is inversely proportional to y and x = 2 $\frac{1}{2}$ when y = 2, find x if y = 4

4

5

1

\frac{1}{4}

2

\frac{1}{4}

Answer Details

x $α$ $\frac{1}{y}$ .........(1)
x = k x $\frac{1}{y}$ .........(2)
When x = 2 $\frac{1}{2}$
= $\frac{5}{2}$ , y = 2
(2) becomes $\frac{5}{2}$ = k x $\frac{1}{2}$
giving k = 5
from (2), x = $\frac{5}{y}$
so when y =4, x = $\frac{5}{y}$ = 1 $\frac{1}{4}$

Read lesson note on Logical Reasoning (WAEC)

Logical Reasoning

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