Graphs of 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 determine the constant of proportionality from a graph?

Back

The constant of proportionality can be determined by finding the ratio of the y-coordinate to the x-coordinate for any point on the line that represents the proportional relationship.

Front

What does the point (0,0) represent in a proportional relationship graph?

Back

The point (0,0) represents the origin, indicating that when there are zero units of one quantity, there are also zero units of the other quantity.

Front

If a graph shows that $500 is earned for every 8 hours worked, what is the constant of proportionality?

Back

The constant of proportionality is 62.5, calculated as 500/8.

Front

How do you find the cost per item in a proportional relationship?

Back

To find the cost per item, divide the total cost by the number of items.

Front

What is the formula for calculating the constant of proportionality?

Back

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

Front

What does a straight line through the origin on a graph indicate?

Back

A straight line through the origin indicates a proportional relationship between the two variables.

Front

How can you represent a proportional relationship using a table?

Back

A proportional relationship can be represented in a table by listing pairs of values (x, y) that maintain a constant ratio.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope of the line represents the constant of proportionality.

Front

If a pizza costs $12 for 8 slices, how much does each slice cost?

Back

Each slice costs $1.50, calculated as 12/8.