Constant of Proportionality (Graph)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are directly proportional.

Front

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

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2). The constant of proportionality (k) can be calculated using the formula k = y/x.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope, indicating a constant ratio between the two variables.

Front

If the constant of proportionality is 60, what does this imply about the relationship between the two variables?

Back

If the constant of proportionality is 60, it means that for every unit increase in the independent variable, the dependent variable increases by 60 units.

Front

What is the constant of proportionality if y = 3x?

Back

The constant of proportionality is 3.

Front

If the constant of proportionality is 1/16, what does this indicate about the relationship between the variables?

Back

This indicates that for every 16 units of the independent variable, the dependent variable increases by 1 unit.

Front

What is the formula to express a proportional relationship?

Back

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

Front

How can you determine if a set of data points is proportional?

Back

To determine if a set of data points is proportional, check if the ratio of y to x is constant for all points.

Front

What is the constant of proportionality if y = 5x?

Back

The constant of proportionality is 5.

Front

If a graph shows a straight line through the origin, what can be inferred about the constant of proportionality?

Back

It can be inferred that the relationship between the two variables is proportional and the constant of proportionality is the slope of the line.