Question

X varies directly with y. If x is 24 when y is 36, find x when y is 132.

equation:_________
x=_________

Answer 1

see explanation

Explanation:

Given x varies directly with y then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24 when y = 36, then

36 = 24k ( divide both sides by 24 )

1.5 = k

y = 1.5x ← equation of variation

When y = 132, then

132 = 1.5x ( divide both sides by 1.5 )

x = 88

Answer 2

Explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.