Graphing Relationships Graphing Relationships are 1 descriptions of

Graphing Relationships

Graphing Relationships are… 1. …descriptions of how two variables relate to each other on a graph. 2. …usually structured “As _____ increases, _____ (increases/decreases. )” 3. In this physics class we will look at 2 of these relarionships: a) Direct Relationship b) Inverse Relationship

Direct Relationship A direct relationship is when the two variables do the SAME THING. As one variable increases, so does the other. They look like this:

Inverse (or Indirect) Relationship An inverse relationship is when the two variables do the OPPOSITE. As one variable increases, the other decreases. They look like this:

Direct relationship and equations • Graphs will give us trends in data that we can describe with mathematical relationships, that is, equations. • The equation for the line of a direct relationship has the two variables set equal to each other (while the rest are constant) v = d t If we keep time constant (where it doesn’t change), we can drop it out of the equation.

Inverse relationship and equations • The equation for the line of an inverse relationship has the variables set on opposite sides of the division line (while the rest are constant) v = 1 d t If we keep distance constant (where it doesn’t change), we can drop it out of the equation. In order to compare variable relationships, they must be on opposite sides of the equal sign. If they aren’t, you must rearrange the equations to make it that way.

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