Constant of Proportionality Review

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality (k) is the ratio of the dependent variable (y) to the independent variable (x) in a proportional relationship, expressed as y = kx.

Front

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

Back

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

Front

What is the equation form of a proportional relationship?

Back

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

Front

If y = 19.25x, what is the constant of proportionality?

Back

The constant of proportionality is 19.25.

Front

Given the equation y = 18x, what point lies on this line?

Back

(1, 18) is a point that lies on the line.

Front

What does it mean if k = 3 in a proportional relationship?

Back

It means that for every unit increase in x, y increases by 3 units.

Front

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

Back

You can find the constant of proportionality by determining the slope of the line, which represents k.

Front

What is the significance of the point (0, k) in a proportional relationship?

Back

The point (0, k) represents the y-intercept, which is the value of y when x is 0.

Front

If a table shows values (2, 10) and (4, 20), is this a proportional relationship?

Back

Yes, because the ratio 10/2 = 5 and 20/4 = 5, which are constant.

Front

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

Back

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