If #y# varies directly with #x# and #y=15# when #x=5#, what is the value of #k#?

2 Answers
Apr 15, 2018

#k=3#

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=15" when "x=5#

#y=kxrArrk=y/x=15/5=3#

#"the direct variation equation is "y=3x#

Apr 15, 2018

The answer is #3#.

Explanation:

#y\propto x\implies y=kx#

For the given values, #15=5k\implies k=\frac 15 5=3#.