If y varies inversely as x and y = 8 when x = 4, find y when x = 16?
1 Answer
Mar 22, 2017
Explanation:
The statement is expressed as
#yprop1/x#
#"inverse means " 1/"variable"# To convert to an equation introduce k, the constant of variation.
#y=kxx1/x#
#rArry=k/x# To find k use the given condition that y = 8 when x = 4
#8=k/4rArrk=4xx8=32#
#rArr" equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=32/x)color(white)(2/2)|)))#
#x=16toy=32/16#
#rArry=2" when " x=16#
