Question
For each equation determine whether it shows a direct variation (that Is, shows directly proportional variables) If it does, find the constant of variation and write it in simplest form. 16y=2x Direct variation k=square Not direct variation 24x-3y=0 Direct variation k=square Not direct variation
Answer
4.7
(118 Votes)
Jacob
Professional · Tutor for 6 years
Answer
Let's tackle each equation one by one.**Equation 1:**
To determine if this is a direct variation, we need to see if we can express
as
where
is the constant of variation.Let's solve for
in terms of
:
Since we can express
as a multiple of
, this is a direct variation.The constant of variation
is:
**The direct variation equation is
and the constant of variation is
.****Equation 2:**
To determine if this is a direct variation, we need to isolate
and see if it can be expressed in the form
.Let's solve for
:
Since
can be expressed as a multiple of
, this is also a direct variation.The constant of variation
is:
**The direct variation equation is
and the constant of variation is
.**