If y varies inversely with x and y = 8 when x = 5, then what is y when x = 2?
1 Answer
Apr 29, 2017
Explanation:
#"varies inversely 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 condition given"#
#"that is " y=8" when " x=5#
#y=k/xrArrk=xy=5xx8=40#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=40/x)color(white)(2/2)|)))#
#"when "x=2toy=40/2=20#
