If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, how do you find y when x is 6 and t = 3?
1 Answer
Aug 11, 2017
Explanation:
#"the initial statement is "xpropt/y#
#"to convert to an equation multiply by k the constant of"#
#"variation"#
#rArrx=(kt)/y#
#"to find k use the given condition"#
#x=12" when "t=10" and "y=25#
#x=(kt)/yrArrk=(xy)/t=(12xx25)/10=30#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(x=(30t)/y)color(white)(2/2)|)))#
#"when "x=6" and "t=3#
#y=(30t)/x=(30xx3)/6=15#
