7.4C - Constant of Proportionality Pre

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 from a table, divide the value of y by the corresponding value of x for any pair of values. The result should be the same for all pairs.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other, meaning as one quantity increases, the other increases at a consistent rate.

Front

Write the equation that represents a proportional relationship.

Back

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

Front

If the constant of proportionality is 5, what is the value of y when x = 4?

Back

y = 5 * 4 = 20.

Front

What is the graphical representation of a proportional relationship?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0) on a graph.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much y changes for a one-unit change in x.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2/3.