Question

If x vary y inversrly and x=3 when y =8 find y when x=4 ?

Answer 1

The statement is expressed as y∝1x

inverse means 1variable

To convert to an equation introduce k, the constant of variation.

y=k×1x

⇒y=kx

To find k use the given condition that y = 8 when x = 4

8=k4⇒k=4×8=32

⇒ equation is ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣22y=32x22∣∣∣−−−−−−−−−−−−

x=16→y=3216

⇒y=2 when x=16

Answer 2

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