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 is constant.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the scale factor represent in proportional relationships?

Back

The scale factor represents the constant ratio between corresponding lengths in two similar figures.

Front

How do you identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional.

Front

How do you find the weight of an object on the moon if you know its weight on Earth?

Back

To find the weight on the moon, multiply the weight on Earth by the ratio of the moon's gravity to Earth's gravity, which is approximately 1/6.

Front

What is the relationship between the weights of objects on Earth and the moon?

Back

The weights of objects on Earth and the moon are proportional, with a constant ratio of approximately 1:6.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.