Proportional Relationships in Tables, Graphs, and Equations

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 is constant.

Front

What is the formula for a proportional relationship?

Back

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

Front

What does the constant 'k' represent in the formula y = kx?

Back

The constant 'k' represents the rate of change or the constant of proportionality.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What does the point (2, 94) represent in a proportional relationship context?

Back

After 2 weeks, they save $94.

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 12.

Front

What is the graphical representation of a proportional relationship?

Back

A straight line that passes through the origin (0,0).

Front

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

Back

The constant of proportionality can be found by determining the slope of the line.

Front

What is the relationship between proportional relationships and direct variation?

Back

Proportional relationships are a type of direct variation where one variable is a constant multiple of another.

Front

If a recipe calls for 4 cups of flour for every 2 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar (4:2) is constant.