Assume y varies inversely as x, how do you write the equation given y=-4 when x=16?
1 Answer
Mar 24, 2017
Explanation:
The statement is expressed as
#yprop1/x#
#"inverse means " 1/("variable")# To convert into an equation introduce k, the constant of variation.
#rArry=kxx1/x=k/x# To find k use the condition that y = - 4 when x = 16
#rArry=k/xrArrk=yx#
#rArrk=-4xx16=-64#
#"Equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-64/x)color(white)(2/2)|)))#
