Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

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

Back

Look for the ratio of y to x for any pair of corresponding values; the constant of proportionality is the same for all pairs.

Front

What is the equation form of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

3

Front

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

Back

Identify the slope of the line; the slope represents the constant of proportionality.

Front

What does a constant of proportionality of 1/2 indicate?

Back

For every 2 units increase in x, y increases by 1 unit.

Front

If the constant of proportionality is 75, what does this mean in a real-world context?

Back

For every unit increase in x, y increases by 75 units.

Front

What is the relationship between proportionality and linear equations?

Back

Proportional relationships can be represented as linear equations that pass through the origin.

Front

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

The graph will slope downwards from left to right.

Front

How can you determine if a relationship is proportional?

Back

Check if the ratio of y to x is constant for all pairs of values.