Constant of Proportionality Skills

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you find the constant of proportionality from a proportional relationship?

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x in the equation y = kx.

Front

In the equation y = ½x, what is the constant of proportionality?

Back

The constant of proportionality is 1/2.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation between y and x, where k is the constant of proportionality.

Front

If y = 33x, what is the constant of proportionality?

Back

The constant of proportionality is 33.

Front

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

Back

In a table format, the constant of proportionality can be expressed as the ratio of y to x for each pair of values.

Front

If Justin ordered 5 ice cream bars for $12.25, how do you calculate the cost per ice cream bar?

Back

To calculate the cost per ice cream bar, divide the total cost ($12.25) by the number of ice cream bars (5), resulting in $2.45 per bar.

Front

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

Back

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

Front

Can the constant of proportionality be negative?

Back

Yes, the constant of proportionality can be negative, indicating an inverse relationship between the two variables.

Front

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

Back

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