Se # y # varia inversamente como o quadrado de # x # e # y = 4 # quando # x = 5 #, o que é # y # quando # x # é # 2 #?

#"the initial statement is " yprop1/x^2#

#"to convert to an equation, multiply by k, the constant"#
#"of variation"#

#rArry=kxx1/x^2=k/x^2#

#"to find k use the given condition"#

#y=4" when " x=5#

#y=k/x^2rArrk=x^2y=5^2xx4=100#

#"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=100/(x^2))color(white)(2/2)|)))#

#"when "x=2#

#rArry=100/(2^2)=100/4=25#