If x varies directly as y and inversely as z and when y=7 and z=2, x=14, what is x when y=16 and z=4?
2 Answers
Jun 14, 2017
Explanation:
In other words
Since when
and hence
and when
Jun 14, 2017
Explanation:
"the initial statement is " xpropy/z
"to convert to an equation multiply by k the constant of"
"variation"
rArrx=kxxy/z=(ky)/z
"to find k use the condition given for x,y and z"
x=14,y=7,z=2
x=(ky)/zrArrk=(xz)/y=(14xx2)/7=4
rArr"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(x=(4y)/z)color(white)(2/2)|)))
"when " y=16" and " z=4
rArrx=(4xx16)/4=16