zz is directly proportional to xx and yy. If when x=6x=6 and y=8y=8, then z=48z=48, then what is zz, when x=10x=10 and y=12y=12?
2 Answers
Explanation:
In other words
Since when
and hence
and when
Explanation:
"the initial statement is " zpropxythe initial statement is z∝xy
"to convert to an equation multiply by k the constant of"to convert to an equation multiply by k the constant of
"variation"variation
rArrz=kxy⇒z=kxy
"to find k use the condition given for x, y and z"to find k use the condition given for x, y and z
x=6,y=8" when " z=48x=6,y=8 when z=48
z=kxyrArrk=z/(xy)=48/(6xx8)=1z=kxy⇒k=zxy=486×8=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