Proportional Relationships and 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 represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as k in the equation y = kx.

Front

Write the equation for a proportional relationship where y is 3 times x.

Back

y = 3x

Front

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

Back

The constant of proportionality is 2.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What is the cost of 10 pounds of grapes if the cost per pound is $6.09?

Back

The cost is $60.90.

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values (y/x) are constant.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality k can be found using the formula k = y/x.

Front

If a pizza costs $12 for 8 slices, how much does each slice cost?

Back

Each slice costs $1.50.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio between the two quantities and does not pass through the origin.