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#