Proportional Relationships and Models

What does it mean for two quantities to have a proportional relationship?

• The quantities are always added together.

• The ratio between the two quantities always stays the same.

• One quantity is always larger than the other.

• The quantities are always subtracted from each other.

When values are graphed, what two things must be true for them to show a proportional relationship?

• The points form a curved line and pass through the origin.

• The points form a straight line and do not pass through the origin.

• The points form a straight line and pass through the origin (0,0).

• The points are scattered and do not form a line.

How can you determine if values in a table have a proportional relationship without graphing them?

• By adding the x and y values together.

• By checking if the y value is always greater than the x value.

• By seeing if the ratio of y to x (y/x) is the same for every pair of numbers.

• By multiplying the x and y values together.

Latiffa made a scale model of a room. The original room is 12 feet long and 8 feet wide. Her scale model is 6 inches long and 4 inches wide. Is her scale model proportional to the original room?

• No, because the measurements are in different units (feet and inches).

• Yes, because the ratio of the model's length to the original length is the same as the ratio of the model's width to the original width.

• No, because the model is smaller than the original room.

• Yes, because both the length and width of the model are half of the original room's measurements.