If y varies directly as x and y=c when x=12 what is y in terms of c when x=8?
1 Answer
May 21, 2018
Explanation:
#"the initial statement is "ypropx#
#"to convert to an equation multiply by k the constant"#
#"of variation"#
#rArry=kx#
#"to find k use the given condition"#
#y=c" when "x=12#
#y=kxrArrk=y/x=c/12=1/12c#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/12cx)color(white)(2/2)|)))#
#"when "x=8" then"#
#y=1/12cxx8=1/cancel(12)^3xxcxxcancel(8)^2=2/3c#
