Proportions: Equations, Tables, and Graphs

Front

What is a proportion?

Back

A mathematical sentence stating that two ratios are equal.

Front

What is a direct variation?

Back

A proportional linear relationship.

Front

What does it mean if a graph is proportional?

Back

The graph passes through the origin and shows a constant rate of change.

Front

How do you determine if two ratios form a proportion?

Back

Cross-multiply and check if the products are equal.

Front

What is the constant of proportionality?

Back

The constant ratio in a proportional relationship, often represented as k.

Front

If y varies directly with x, what is the equation that represents this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What is the slope of a proportional relationship?

Back

The slope is equal to the constant of proportionality.

Front

How can you represent a proportional relationship in a table?

Back

By showing that the ratio of y to x is constant for all pairs.

Front

What is the formula for finding the unit rate?

Back

Divide the total quantity by the number of units.

Front

If 3 apples cost $1.50, what is the cost of 7 apples?

Back

$3.50 (using the unit rate of $0.50 per apple).