If w is jointly proportional to u and v, and w=2 when u=4 and v=6, what is w when u=3 and v=8?
1 Answer
May 21, 2018
Explanation:
#"the initial statement is "wpropuv#
#"to convert to an equation multiply by k the constant"#
#"of variation"#
#rArrw=kuv#
#"to find k use the given condition"#
#w=2" when "u=4" and "v=6#
#w=kuvrArrk=w/(uv)=2/24=1/12#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(w=1/12uv)color(white)(2/2)|)))#
#"when "u=3" and "v=8" then"#
#w=1/12xx3xx8=1/12xx24=2#
