Direct variation. If y=6 when x=2/3, find x when y=12. ?

3 Answers
May 22, 2018

x = 4/3 = 1 1/3x=43=113

Explanation:

In a direct variation if y is double then x is doubled.

2 xx y = 2 xx 6 = 12 2×y=2×6=12

so

2 xx x = 2 xx 2/3 = 4/3 = 1 1/32×x=2×23=43=113

May 22, 2018

x=4/3x=43

Explanation:

It is assumed that since the y is doubled, then x is doubled, so x would be 4/343.

May 22, 2018

x=4/3x=43

Explanation:

"the initial statement is "ypropxthe initial statement is yx

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

rArry=kxy=kx

"to find k use the given condition"to find k use the given condition

y=6" when "x=2/3y=6 when x=23

y=kxrArrk=y/x=6/(2/3)=(3xx6)/2=9y=kxk=yx=623=3×62=9

"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=9x)color(white)(2/2)|)))

"when "y=12" then"

9x=12rArrx=12/9=4/3