Proportional Relationships (Tables/Equations)

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What does the constant of proportionality (k) represent in the equation y = kx?

Back

The constant of proportionality (k) represents the factor by which one quantity changes in relation to another quantity.

Front

Write an equation for a proportional relationship where k = 5.

Back

y = 5x

Front

Is the relationship represented by the table below proportional? | x | y | |---|---| | 1 | 2 | | 2 | 4 | | 3 | 6 |

Back

Yes, the relationship is proportional because the ratio of y to x is constant (2).

Front

Find the constant of proportionality for the equation y = 12x.

Back

k = 12

Front

If y = 10 when x = 2, what is the constant of proportionality?

Back

k = 5 (since 10 = 5 * 2).

Front

What does it mean if a table of values is not proportional?

Back

It means that the ratio of y to x is not constant across the values.

Front

Write an equation for a proportional relationship where the constant of proportionality is 3.

Back

y = 3x

Front

If the equation is y = 4.5x, what is the value of k?

Back

k = 4.5

Front

Determine if the following pairs are proportional: (2, 6) and (4, 12).

Back

Yes, they are proportional because 6/2 = 3 and 12/4 = 3.