Guevara-Proportional Relationships-Multiple Reps.

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

The equation $$y = 3x$$ represents a proportional relationship because it can be expressed as a constant ratio.

The direct variation equation for Kelly's pay is $$y = 8.50k$$ , where y is the total pay and k is the number of hours worked.

A table represents a proportional relationship if the ratios of corresponding values are constant.

The point (2, 94) means that after 2 weeks, they save $94.

The constant of proportionality is the constant factor that relates two proportional quantities.

The form of the equation is $$y = kx$$ , where k is the constant of proportionality.

If a relationship is not proportional, the ratio between the two quantities is not constant.

An equation is proportional if it can be rewritten in the form $$y = kx$$ , where k is a constant.

An example of a non-proportional equation is $$y = 9x + 1$$ .