Interpreting Proportional Graphs

Front

What does the ordered pair (4, 2) represent in a proportional graph?

Back

The ordered pair (4, 2) means that 2 cookies cost $4, which is incorrect. It actually means that 4 units correspond to 2 of another quantity.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if 4 cookies cost $2, the unit rate is $0.50 per cookie.

Front

True/False: The point (4, 2) means to mix 2 quarts of red paint with 4 quarts of green paint.

Back

True.

Front

Which ordered pair represents the unit rate?

Back

(1, 2) represents the unit rate, meaning 1 unit of one quantity corresponds to 2 units of another.

Front

True/False: The point (2, 1) means to mix 1 quart of green paint with 2 quarts of red paint.

Back

False. It means to mix 2 quarts of red paint with 1 quart of green paint.

Front

What is the meaning of the x-coordinate in a proportional graph?

Back

The x-coordinate typically represents the independent variable or the quantity being controlled or changed.

Front

What is the meaning of the y-coordinate in a proportional graph?

Back

The y-coordinate typically represents the dependent variable or the quantity that changes in response to the independent variable.

Front

How do you find the slope of a line in a proportional graph?

Back

The slope is found by dividing the change in the y-coordinate by the change in the x-coordinate (rise/run).

Front

What does a slope of 2 indicate in a proportional relationship?

Back

A slope of 2 indicates that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 2 units.

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.