Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality is the value of k, which represents the ratio of y to x.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is linear and 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.

Front

If y varies directly with x, what is the relationship between y and x?

Back

If y varies directly with x, then y = kx for some constant k.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

Front

How do you solve for a variable in a proportional relationship?

Back

To solve for a variable in a proportional relationship, you can use the equation of the form y = kx and isolate the variable.

Front

What is an example of a real-world situation that can be modeled with proportions?

Back

An example is calculating the cost of items based on their price per unit.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, indicating a direct relationship.