Question

How do you write the direct variation of (2, 10)?

Answer 1

Please see the solutions below..

Explanation:

According to the parameters given..

`x = 2`

`y = 10`

Direct variation..

`x prop y`

`x = yk` where `k` is constant..

Where `x = 2 and y = 10`

Therefore..

`2 = 10k`

`2/10 = k`

`1/5 = k`

`0.2 = k`

Answer 2

`y=5x`

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 point "(2,10)`

`y=kxrArrk=y/x=10/2=5`

`"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5x)color(white)(2/2)|)))`