If y varies inversely as x and y = -3 when x = 6, how do you find x when y is 36?
1 Answer
Apr 26, 2017
Explanation:
#color(blue)"Inverse"" means " 1/"variable"#
#"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 conditions given"#
#y=-3" when "x=6#
#y=k/xrArrk=xy=6xx-3=-18#
#"the equation is " y=(-18)/x#
#"to find x when y = 36"#
#y=(-18)/xrArrx=(-18)/y#
#rArrx=(-18)/36=-1/2#
