Constant of Proportionality

Front

What is the constant of proportionality in a direct variation equation?

Back

The constant of proportionality is the constant factor (k) that relates the two variables in a direct variation equation, represented as y = kx.

Front

In the equation y = kx, what does 'k' represent?

Back

In the equation y = kx, 'k' represents the constant of proportionality.

Front

How can you identify the constant of proportionality from a graph?

Back

The constant of proportionality can be identified as the slope of the line in a graph representing a direct variation.

Front

What does a constant of proportionality of 9 indicate in a real-world scenario?

Back

A constant of proportionality of 9 indicates that for every unit increase in x, y increases by 9 units.

Front

If 500 is earned for every 8 hours worked, what is the constant of proportionality?

Back

The constant of proportionality in this scenario is 62.5, calculated as 500/8.

Front

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

Back

The constant of proportionality is equal to the slope of the line in a graph of a direct variation.

Front

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

Back

To calculate the constant of proportionality, divide the value of y by the corresponding value of x for any point on the line.

Front

What does it mean if the constant of proportionality is negative?

Back

If the constant of proportionality is negative, it indicates an inverse relationship between the two variables.

Front

Can the constant of proportionality be a fraction?

Back

Yes, the constant of proportionality can be a fraction, indicating a proportional relationship where y increases at a slower rate than x.

Front

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

Back

The constant of proportionality helps to understand and predict relationships between quantities in various real-life scenarios, such as speed, cost, and density.