Constant of Proportionality

Front

What is the Constant of Proportionality (COP)?

Back

The Constant of Proportionality (COP) is the ratio of y to x in a proportional relationship, represented as COP = y/x.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant.

Front

What is the formula to find the Constant of Proportionality from a table of values?

Back

COP = y/x, where y is the output value and x is the input value.

Front

If there are 624 calories in 3 servings of ice cream, how do you find the calories per serving?

Back

Divide the total calories by the number of servings: 624 calories / 3 servings = 208 calories per serving.

Front

What does it mean if a table is proportional?

Back

It means that the ratios of the corresponding values in the table are equal.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the slope in a proportional relationship graph?

Back

The slope of the line represents the Constant of Proportionality.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can you solve for a variable in a proportional equation?

Back

You can cross-multiply and then isolate the variable to solve for it.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio of y to x changes, such as y = 2x + 3.