#z# is directly proportional to #x# and #y#. If when #x=6# and #y=8#, then #z=48#, then what is #z#, when #x=10# and #y=12#?
2 Answers
Jun 14, 2017
Explanation:
In other words
Since when
and hence
and when
Jun 14, 2017
Explanation:
#"the initial statement is " zpropxy#
#"to convert to an equation multiply by k the constant of"#
#"variation"#
#rArrz=kxy#
#"to find k use the condition given for x, y and z"#
#x=6,y=8" when " z=48#
#z=kxyrArrk=z/(xy)=48/(6xx8)=1#
#rArr" equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(z=xy)color(white)(2/2)|)))#
#"when " x=10" and " y=12#
#z=10xx12=120#