The differences between the 4 types of variation are as follows:
1. Direct Variation, where one variable is a constant of the other
2. Inverse or Indirect Variation, where one of the variables goes up, the other goes down (their product is the same)
3. Joint Variation, where more than two variables are directly related
4. Combined Variation, which involves a combination of direct or joint variation, and indirect variation
5.Partial Variation, where two variables are related by a formula, such as the formula for a
straight line (with a non-zero y-intercept)
Step-by-step explanation:
Direct variation describes a simple correlation between two variables. We say that y varies directly from x (or as x, in some books) if: y = kx. for some constant k, called constant of variation or constant of proportionality.
When two variables change in opposite proportions it is called as indirect variation. This means that the variables change in the same ratio but vice versa. General equation for an inverse variation is Y = K1x. Or XY = K which is constant. So the product of the two variables is constant for the opposite variation.
Joint variation occurs when a variable changes directly or inversely with multiple variables. For example, if x varies directly from both y and z, we have x = kyz.
Combined variation describes a situation in which a variable depends on two (or more) other variables, and directly differs from some of them and varies in contrast to others ( when the remaining variables are maintained).
Partial variation is a correlation between two variables in which the dependent variable is the sum of a constant number and a constant.
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Answer:
The differences between the 4 types of variation are as follows:
1. Direct Variation, where one variable is a constant of the other
2. Inverse or Indirect Variation, where one of the variables goes up, the other goes down (their product is the same)
3. Joint Variation, where more than two variables are directly related
4. Combined Variation, which involves a combination of direct or joint variation, and indirect variation
5.Partial Variation, where two variables are related by a formula, such as the formula for a
straight line (with a non-zero y-intercept)
Step-by-step explanation:
Direct variation describes a simple correlation between two variables. We say that y varies directly from x (or as x, in some books) if: y = kx. for some constant k, called constant of variation or constant of proportionality.
When two variables change in opposite proportions it is called as indirect variation. This means that the variables change in the same ratio but vice versa. General equation for an inverse variation is Y = K1x. Or XY = K which is constant. So the product of the two variables is constant for the opposite variation.
Joint variation occurs when a variable changes directly or inversely with multiple variables. For example, if x varies directly from both y and z, we have x = kyz.
Combined variation describes a situation in which a variable depends on two (or more) other variables, and directly differs from some of them and varies in contrast to others ( when the remaining variables are maintained).
Partial variation is a correlation between two variables in which the dependent variable is the sum of a constant number and a constant.
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