Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is a constant value that relates two proportional quantities, typically expressed in the form y = kx.

Front

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

Back

To determine the constant of proportionality from a graph, identify the slope of the line, which represents the constant k.

Front

What is the constant of proportionality if y = 1.50x?

Back

The constant of proportionality is k = 1.50.

Front

If a graph has a constant of proportionality of 16, what does this mean?

Back

It means that for every unit increase in x, y increases by 16 units.

Front

How can you express the constant of proportionality in a table format?

Back

In a table, the constant of proportionality can be expressed as y = kx, where k is the constant derived from the ratio of y to x.

Front

What is the constant of proportionality for the equation y = 30x?

Back

The constant of proportionality is k = 30.

Front

If the constant of proportionality is 40, what is the relationship between x and y?

Back

The relationship can be expressed as y = 40x.

Front

What does a constant of proportionality of 2 indicate in the equation y = 2x?

Back

It indicates that for every unit increase in x, y increases by 2 units.

Front

How do you find the constant of proportionality from a set of data points?

Back

To find the constant of proportionality from data points, divide the value of y by the corresponding value of x for each point and ensure the ratio is constant.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand the relationship between two variables, allowing for predictions and calculations in various contexts.