If s varies directly as r and inversely as t and s=10 when r=5 and t=3, for what value of t will s=3 when r=4?
1 Answer
Jul 14, 2017
Explanation:
#"the initial statement is " spropr/t#
#"to convert to an equation multiply by k the constant of"#
#"variation"#
#rArrs=kxxr/t=(kr)/t#
#"to find k use the condition given"#
#s=10" when "r=5" and "t=3#
#s=(kr)/trArrk=(st)/r=(10xx3)/5=6#
#"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(s=(6r)/t)color(white)(2/2)|)))#
#s=3" when "r=4#
#s=(6r)/t#
#rArrt=(6r)/s=(6xx4)/3=8#
