SOLUTION: Direct, inverse, or joint variation? Please Help. I really don't know the difference. {{{1/3}}}{{{Y=X}}} {{{xy=10}}}

Algebra.Com
Question 162639This question is from textbook saxon algebra2
: Direct, inverse, or joint variation?
Please Help. I really don't know the difference.

This question is from textbook saxon algebra2

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

It can't be joint, for there has to be more than two variables
to have joint variation.

To tell whether it is direct or inverse:

Substitute any two different values for X and calculate the two 
different values of Y for each.

If when X INcreases, Y also INcreases, and
when X DEcreases, Y also DEcreases then the variation is DIRECT.
(they go up or down in the SAME direction),

If when X INcreases, Y DEcreases, and
when X DEcreases, Y INcreases then the variation is INVERSE.
(they go up and down in OPPOSITE directions),



Substitute Y = 3:







Substitute Y = 6:


 
  




So when X INcreased from 3 to 6, Y also INcreased
from 1 to 2, so the variation is DIRECT. 
(They both went UP).

----------------------- 



Substitute x = 2:





Substitute x = 5:


 


So when X INcreased from 2 to 5, Y DEcreased
from 5 to 2, so the variation is INVERSE.
(One went up and the other went down).

Edwin


RELATED QUESTIONS

Direct, Inverse, or joint variation? 3.... (answered by KnightOwlTutor)
Identify the variation as a direct, inverse, joint, or combined xy=c... (answered by ikleyn)
Please help me match the following items number with letter. 1) a^2+2ab+b^2 2) a^2-b^2 (answered by ewatrrr)
State whether each equations represents a direct, inverse, joint, or combined... (answered by MathLover1)
Please im asking someone to please give me a helping hand with the following questions. I (answered by stanbon)
Please I need help I just have a question and I know I can only ask one question but I... (answered by Edwin McCravy)
Direct variation or inverse variation? Please help. I don't understand how to tell... (answered by KnightOwlTutor,scott8148)
Identify the variation as direct, inverse, joint or combined.... (answered by Theo)
State whether the relationship between the variables in the table is a direct variation,... (answered by ikleyn)