Question

How do you write an inverse variation equations given x = 0.5 when y = 2.5?

Answer 1

`y=1.25/x`

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"`

`x=0.5" when "y=2.5`

`y=k/xrArrk=yx=2.5xx0.5=1.25`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1.25/x)color(white)(2/2)|)))`