Proportional Relationships Review

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 do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in the equation y = kx, representing the relationship between y and x.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

If a car travels 40 miles in 1 hour, what is the constant of proportionality in miles per hour?

Back

The constant of proportionality is 40 miles per hour.

Front

What does the slope represent in a graph of a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

How do you calculate the slope from a table of values?

Back

The slope can be calculated by taking the difference in y-values divided by the difference in x-values (rise/run).

Front

What is the slope if a car travels 120 miles in 3 hours?

Back

The slope is 40 miles per hour (120 miles / 3 hours).

Front

What is the significance of a slope of 0 in a proportional relationship?

Back

A slope of 0 indicates that there is no change in y as x changes, meaning y is constant.