How do you find an equation of variation where y varies directly as x and y = 10 when x = 5, find y when x is 4?

1 Answer
Jun 11, 2017

y=8

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 for x and y"

y=10" when " x=5

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

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

x=4toy=2xx4=8