If y=4 when x=14, how do you find x when y=-5 given y varies inversely as x?
1 Answer
Jun 1, 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"#
#y=4" when " x=14#
#y=k/xrArrk=xy=14xx4=56#
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=56/x)color(white)(2/2)|)))larr" is the equation"#
#"when " y=-5#
#-5=56/xrArrx=-56/5#
