If Y varies inversely as twice x and when x = 3, y = 8 how do you find y when x = 2?

2 Answers
May 29, 2017

When x=2, y = 12

Explanation:

  • Write the statement as an inverse proportion first:
    y prop 1/(2x)
  • Change to an equation using a constant k

y = k/(2x)," " which can be written as " "k = 2x xx y

  • Use the values given to find a value for k
    k = (2xx3) xx8 = 48

  • Use the values for k and x to find y.

y = k/(2x) = 48/(2xx2)

= 48/4 = 12

May 29, 2017

y = 12

Explanation:

Here y prop 1/(2x)

or, y = k. 1/(2x) ..............(i)

put x = 3 & y = 8 we get, 8 = k. 1/(2xx3)

rArr k = 48

Again putting the value of k & x in (i) to find 'y'

rArr y = 48. 1/(2xx2)

rArr y = 12