Question

How do you determine the constant of proportionality if y is inversely proportional to x and y = 6 when x = 4?

Answer 1

`k=24`

Explanation:

`y∝1/x`,

`y=k/x`, where `k` is constant

`y=6` `x=4` so,

`6=k/4`

`6*4=k`

`k=24`

Answer 2

`k=24`

Explanation:

`"the initial statement is "yprop1/x`

`"to convert to an equation multiply by k the constant"`
`"of variation"`

`rArry=kxx1/x=k/x`

`"to find k use the given condition"`

`y=6" when "x=4`

`y=k/xrArrk=yx=6xx4=24`