Question

The variables x

and y
are in a proportional relationship. When x
is 14
, y
is 6
. If the equation y=kx
represents the relationship between x
and y
, where k
is the constant of proportionality, what is the value of k
?

Answer 1

k =
`(3)/(7)`

Explanation:

given x and y are in a proportional relationship , then the equation relating them is

y = kx ← k is the constant of proportionality

to find k substitute x = 14, y = 6 into the equation

6 = 14k ← divide both sides by 14

`(6)/(14)` =
`(14)/(14)` k , that is

`(3)/(7)` = k