The equation(s) which represent joint variations are w=abc/4 and V = lwh
What is a joint variation?
A situation where one variable depends on two (or more) other variables and varies directly as each of them when the others are held constant is called a joint variation.
How to find which equation(s) represent joint variations?
According to the definition of joint variation,
- One variable depends on two (or more) other variables
- One variable varies directly as each of them when the others are held constant.
- In the first and third option, one variable varies directly with only one variable.
This contradicts the definition and hence first and third options are wrong.
- In second option, z varies directly with x but inversely with y.
This contradicts the definition and hence second option is wrong.
- In the fourth and fifth option, the variable varies directly with 3 variables.
Options fourth and fifth are correct.
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