Proportions (tables and graphs)

Front

What is a proportion?

Back

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

Front

How can you determine if two quantities are proportional using a table?

Back

If the ratios of the corresponding values are equal, the quantities are proportional.

Front

What does it mean for a graph to represent a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio k in the equation y = kx, which represents the relationship between y and x.

Front

How do you find the constant of proportionality from a table?

Back

Divide the value of y by the corresponding value of x for any pair of values.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

How do you calculate the unit rate from a given total cost and quantity?

Back

Divide the total cost by the quantity to find the cost per unit.

Front

What is the significance of the origin in a graph of proportional relationships?

Back

The origin (0,0) indicates that when x is 0, y is also 0, which is a characteristic of proportional relationships.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the dependent variable in a graph.