Proportional Relationships

Front

What is a proportional relationship?

Back

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

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 72 ounces for 12 servings, the unit rate is 72 ounces ÷ 12 servings = 6 ounces per serving.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If the constant of proportionality is k=3, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 3 units.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How do you simplify a ratio to find the constant of proportionality?

Back

To simplify a ratio, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the significance of the unit rate in real-life applications?

Back

The unit rate helps compare different quantities and is useful in making decisions, such as determining the best price per item.

Front

Can a proportional relationship have a negative constant of proportionality?

Back

Yes, a proportional relationship can have a negative constant of proportionality, indicating an inverse relationship between the two quantities.