Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It indicates how one quantity changes in relation to another.

Front

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

Back

To find the constant of proportionality from a graph, identify the slope of the line, which represents the ratio of the change in the y-value to the change in the x-value.

Front

If a boat travels 45 miles in 1 hour, what is the constant of proportionality?

Back

The constant of proportionality is 45 miles per hour.

Front

What does a constant of proportionality of 5 indicate?

Back

A constant of proportionality of 5 indicates that for every unit increase in the independent variable, the dependent variable increases by 5 units.

Front

How do you determine the missing value in a proportional relationship?

Back

To determine the missing value in a proportional relationship, set up a proportion equation and solve for the unknown value.

Front

What is the constant of proportionality in the equation y = 5x?

Back

In the equation y = 5x, the constant of proportionality is 5.

Front

If 624 calories are consumed in 3 servings, how many calories are in one serving?

Back

To find the calories per serving, divide 624 by 3, which equals 208 calories per serving.

Front

What is the relationship between proportionality and linear functions?

Back

Proportionality is a specific case of linear functions where the line passes through the origin (0,0) and has a constant slope.

Front

What does it mean if two quantities are proportional?

Back

If two quantities are proportional, it means that as one quantity increases or decreases, the other quantity changes at a constant rate.

Front

How can you represent a proportional relationship in a table?

Back

A proportional relationship can be represented in a table by showing pairs of values that maintain a constant ratio.