Constant of Proportionality and Equations

Front

What is the constant of proportionality?

Back

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

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratio of y to x is constant for all pairs of values.

Front

Write the equation for a proportional relationship where the constant of proportionality is 5.

Back

y = 5x

Front

If the constant of proportionality is 1/4, what is the equation for the relationship?

Back

y = (1/4)x

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio of y to x is not constant, and the graph does not pass through the origin.

Front

How can you find the missing value in a proportional table?

Back

To find the missing value, use the constant of proportionality to set up an equation based on the known values.

Front

What is the equation for a proportional relationship with a constant of proportionality of 9?

Back

y = 9x

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

How do you convert a proportional relationship into an equation?

Back

Identify the constant of proportionality and express the relationship in the form y = kx.

Front

What is the relationship between x and y in the equation y = 4x?

Back

For every increase of 1 in x, y increases by 4.