4.5 Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

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

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

If y = 30x, what is the constant of proportionality?

Back

The constant of proportionality is 30.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin (0,0).

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If k = 3, what is the value of y when x = 5?

Back

If k = 3, then y = 3 * 5 = 15.

Front

What is the relationship between the constant of proportionality and slope in a graph?

Back

In a graph, the constant of proportionality is equal to the slope of the line.

Front

How do you simplify the expression k = 9/3?

Back

k = 9/3 simplifies to k = 3.

Front

If a recipe requires 2 tbsp of honey for every cup of flour, how much honey is needed for 20 cups of flour?

Back

For 20 cups of flour, you need 2 tbsp * 20 = 40 tbsp of honey.