If y=3.8 when x=1.5, how do you find x when y=0.3 given that y varies inversely as x?
1 Answer
Jul 12, 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=3.8" when "x=1.5#
#y=k/xrArrk=xy=1.5xx3.8=5.7#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5.7/x)color(white)(2/2)|)))#
#"when " y=0.3#
#y=5.7/xrArrx=5.7/y=5.7/0.3=19#