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, 624 calories in 3 servings gives a unit rate of 624 ÷ 3 = 208 calories per serving.

Front

What does the point (x, y) represent in a proportional relationship?

Back

The point (x, y) represents the relationship between two quantities, where x is the independent variable and y is the dependent variable, indicating how y changes with respect to x.

Front

How can you determine 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 formula for finding the constant of proportionality?

Back

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

Front

If a recipe calls for a certain ratio of ingredients, how can you scale it up?

Back

To scale up a recipe, multiply each ingredient by the same factor to maintain the ratio.

Front

What does the ordered pair (a, b) signify in a real-world context?

Back

The ordered pair (a, b) signifies a specific relationship between two quantities, such as time and output, where 'a' is the independent variable and 'b' is the dependent variable.

Front

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

Back

The unit rate helps compare different quantities and make informed decisions, such as determining the best price per item or the efficiency of a process.

Front

How do you solve for an unknown in a proportional relationship?

Back

To solve for an unknown in a proportional relationship, set up a proportion and cross-multiply to find the missing value.

Front

What is an example of a proportional relationship in everyday life?

Back

An example of a proportional relationship is the speed of a car, where distance traveled is proportional to time taken at a constant speed.