Understanding Proportional Relationships

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 quantity is constant.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality is the value 'k' that relates the two variables x and y.

Front

How do you express a proportional relationship mathematically?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

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

Back

The constant of proportionality is 5.

Front

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

Back

You can find the constant of proportionality by dividing the value of y by the corresponding value of x (k = y/x).

Front

What is the origin in the coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, located at (0, 0).

Front

If the constant of proportionality is $9, what is the equation of the proportional relationship?

Back

The equation is y = 9x.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate determined by the constant of proportionality.

Front

If y = 14x, what is the value of y when x = 2?

Back

When x = 2, y = 14 * 2 = 28.