Question

If x is inversely proportional to y, and x = 60 when y = 0.5, find x when y = 12.

Answer 1

y = k / x

We have to find the value of K

We only to replace y = 0,5 to y = 60

0,5 = k / 60

0, 5 ÷ 60 = k

30 = k

K = 30


Then,

y = 30 / x

Now us let's to replace y = 12

12 = 30 / x

12 . x = 30

x = 30 / 12

Division by 2

x = 15 / 6

Division by 3

x = 5 / 2

Or

x = 2,5