Unit 4A Proportional Relationships 7th Grade Support

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 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 table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where y is directly proportional to x with k as the constant of proportionality.

Front

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

Back

The constant of proportionality is 3.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the total cost if the price per ticket is $75 and there are 7 tickets?

Back

The total cost is $525 (7 tickets x $75 each).

Front

If the constant of proportionality is 1/2, what is the value of y when x = 10?

Back

y = 5 (since y = (1/2) * 10).

Front

What is the missing value of B if A = 12 and the constant of proportionality is 3?

Back

B = 36 (since B = 3 * 12).

Front

What does it mean if an equation is 'not proportional'?

Back

An equation is 'not proportional' if it does not have a constant ratio between the variables, meaning it does not pass through the origin.