Proportions

Front

What is a proportion?

Back

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

Front

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the corresponding quantity in a proportional relationship.

Front

What is the constant of proportionality in the context of beads per necklace if 155 beads are used for 5 necklaces?

Back

31 beads per necklace.

Front

If Ben earns $41 for 4 hours, what is his hourly rate?

Back

$10.25 per hour.

Front

What does it mean if a graph passes through the origin?

Back

It indicates a proportional relationship between the variables.

Front

What is the equation of a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

It helps to understand the relationship between two quantities and predict one quantity based on the other.

Front

How can you determine if a relationship is proportional from a table of values?

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the graph does not pass through the origin, such as y = 3x + 2.

Front

What is the formula to calculate the constant of proportionality from a given ratio?

Back

k = y/x, where y is the dependent variable and x is the independent variable.