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
Jim G.
May 21, 2018

#w=2#

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#

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