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What is the manipulating variable the dependent variable or the independent variable?
The independent variable.
If doubling the manipulating variable results in a doubling of the responding variable the relationship between the variables is a?
This would indicate that there is a linear relationship between manipulating and responding variables.
What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?
substitution
What is the first step to solving for x?
That depends on the specific equation. The general idea is to "isolate" the variable, for example "x", manipulating the equation in such a way that all terms that contain "x" are on the left, and all terms that don't contain it, are on the right.
What does dependant variable mean?
See link for the Wikipedia article. The dependent variable is sometimes called response variable, or outcome variable. During what year of school, K thru 12, do kids experience the greatest average change in height (or weight)? You are "manipulating" what year of school a child is in. You aren't making any changes on this-- this is just your independent variable. You are going to measure height change for each child, so a starting and ending measure is needed. Height is the dependent variable.
