Question #7ea93

2 Answers
Jan 17, 2018

First you would write the equation like this:
#Yprop1/X^2#
Then rewrite it as
#Y=k/X^2# where #K# is the constant you are trying to find.
Plug in the values:
#24=k/2^2#
#k=24*4#
#k=96#

So your equation becomes:
#Y=96/X^2#

Jan 17, 2018

#y=96/x^2#

Explanation:

#"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"#

#"when "x=2,y=24#

#y=k/x^2rArrk=yx^2=24xx4=96#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=96/x^2)color(white)(2/2)|)))#