Suppose that y varies directly as x, and y = 21 when x = 9. What is the value of y when x = –6?
1 Answer
May 8, 2018
Explanation:
#"the initial statement is "ypropx#
#"to convert to an equation multiply by k the constant"#
#"of variation"#
#rArry=kx#
#"to find k use the given condition"#
#y=21" when "x=9#
#y=kxrArrk=y/x=21/9=7/3#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=7/3x=(7x)/3)color(white)(2/2)|)))#
#"when "x=-6" then"#
#y=7/3xx-6=-14#