SOLUTION: State whether each equations represents a direct, inverse, joint, or combined variations. Then name the constant of variation. 1. x/5=y 2. x=1/y 3. x/y=-7 4. A=bh/2c 5. y=2

Algebra ->  Expressions-with-variables -> SOLUTION: State whether each equations represents a direct, inverse, joint, or combined variations. Then name the constant of variation. 1. x/5=y 2. x=1/y 3. x/y=-7 4. A=bh/2c 5. y=2      Log On


   

Question 1187760: State whether each equations represents a direct, inverse, joint, or
combined variations. Then name the constant of variation.
1. x/5=y
2. x=1/y
3. x/y=-7
4. A=bh/2c
5. y=2xz
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Direct Variation, where one variable is a constant multiple of another.
Inverse or Indirect Variation, where when one of the variables increases, the other one decreases (their product is constant).
Joint Variation, where more than two variables are related directly.
Combined variation describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others (when the rest of the variables are held constant).
1.
x%2F5=y
x=5y->Direct Variation
2.
x=1%2Fy->Inverse or Indirect Variation (their product is constant, xy=1)
3.
x%2Fy=-7
x=-7y->Direct Variation
4.
A=%28bh%29%2F%282c%29->Combined variation
5.
y=2xz->Joint Variation