If y varies inversely with x, and x = -12 when y = 5. How do you find the inverse variation equation and use it to find the value of x when y = 10?
1 Answer
Sep 13, 2017
Explanation:
#"the initial statement is "yprop1/x#
#"to convert to an equation multiply by k the constant"#
#"of variation"#
#rArry=kxx1/x=k/x#
#"to find k use the given condition"#
#x=-12" when "y=5#
#y=k/xrArrk=xy=-12xx5=-60#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-60/x)color(white)(2/2)|)))#
#"when "y=10#
#x=-60/y=-60/10=-6#
