Practice 2.4 (Constant of Proportionality Flashcardizz)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

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

Back

To find the constant of proportionality from a graph, identify the ratio of the y-coordinate to the x-coordinate for any point on the line. This ratio is constant.

Front

What is the formula for constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If y = 40 when x = 1, what is the constant of proportionality?

Back

k = 40/1 = 40.

Front

If a table shows values of x and y, how can you determine if they are proportional?

Back

If the ratio y/x is the same for all pairs of values, then the quantities are proportional.

Front

What does it mean if k = 0?

Back

If k = 0, it means that there is no relationship between x and y; y is always zero regardless of x.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is k = 5.

Front

How can you represent a proportional relationship in a table?

Back

A proportional relationship in a table shows pairs of values where the ratio of y to x is constant.

Front

What is the constant of proportionality for the equation y = 3x?

Back

The constant of proportionality is k = 3.

Front

If the constant of proportionality is k = 1/5, what does this indicate?

Back

This indicates that for every 1 unit increase in x, y increases by 1/5 units.