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 ratio in a proportional relationship, often represented by 'k'.

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 equation represents a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

How do you find the constant of proportionality from a table?

Back

Divide the value of one quantity by the corresponding value of the other quantity.

Front

If Maria makes $15 an hour, how much does she make in 'h' hours?

Back

y = 15h.

Front

What does a graph of a proportional relationship look like?

Back

A straight line that passes through the origin (0,0).

Front

If the constant of proportionality is K=1/2, what does this mean?

Back

For every 1 unit increase in x, y increases by 1/2 units.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

The slope of the line in a graph of a proportional relationship is equal to the constant of proportionality.

Front

How can you determine if two quantities are proportional?

Back

If the ratio of the two quantities remains constant as their values change.