Question

The variables x=1 and y=1/2 varies directly. How do you write an equation that relates the variables and find y when x=8?

Answer 1

`y=4`

Explanation:

`"the initial statement is "ypropx`

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

`rArry=kx`

`"to find k use the given condition"`

`x=1" and "y=1/2`

`y=kxrArrk=y/x=(1/2)/1=1/2`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/2x)color(white)(2/2)|)))`

`"when "x=8`

`y=1/2xx8=4`