Question

x and y are inversely proportional (that is, x and y vary inversely). When x=2/3 then y=6. The value of x, when y=0.5, is ___________.

Answer 1

x = 8

Explanation:

inversely proportional expression: y = k/x where 'k' is the constant of variation

input x and y values to find 'k'

y = k/x

6 = k ÷ 2/3

6 = k · 3/2

cross-multiply: 3k = 12; so, k = 4

now input 4 for k and 0.5 for y to find x:

0.5 = 4/x

0.5x = 4

x = 8