Proportional Relationship

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 is constant.

Front

What is the equation form for a proportional relationship?

Back

The equation form for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If y = 7x, what is the constant of proportionality (k)?

Back

The constant of proportionality (k) is 7.

Front

If y = \frac{1}{7}x, what is the constant of proportionality (k)?

Back

The constant of proportionality (k) is \frac{1}{7}.

Front

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

Back

To find the constant of proportionality, divide the y-coordinate by the corresponding x-coordinate for any pair of values.

Front

Franny’s Deli sells 8 turkey sandwiches for every 5 ham sandwiches. What is the ratio of turkey to ham sandwiches?

Back

The ratio of turkey to ham sandwiches is 8:5.

Front

If 96 turkey sandwiches were sold, how many ham sandwiches were sold?

Back

60 ham sandwiches were sold.

Front

What does it mean if a graph represents a proportional relationship?

Back

It means that the graph is a straight line that passes through the origin (0,0).

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it is a straight line that goes through the origin.

Front

If 7 miles are traveled in 2 hours, how far will be traveled in 6 hours?

Back

21 miles will be traveled in 6 hours.