Representing Proportional Relationships

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 in the equation y = kx.

Front

If y = 0.5x, what is the constant of proportionality?

Back

0.5

Front

How do you find the missing value in a proportional relationship?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.

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

If 2 pounds of bananas cost 80 cents, how much do 4 pounds cost?

Back

160 cents.

Front

What is the formula for finding the constant of proportionality from a table?

Back

k = y/x, where y is the output and x is the input.

Front

If the ratio of green candy to red candy is 1:3, how many pieces of green candy are there if there are 36 pieces of red candy?

Back

12 pieces of green candy.

Front

What is the relationship between unit rate and constant of proportionality?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Front

How can you represent a proportional relationship using a table?

Back

A table can show pairs of values (x, y) that maintain a constant ratio.