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 tell if a graph represents a proportional relationship?

Back

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

Front

What does the ratio of 7:13 represent in the context of hats and mittens?

Back

The ratio of 7:13 represents the number of mittens (7) to the total number of items (6 hats + 7 mittens = 13 total).

Front

How do you find the constant of proportionality (k)?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

If a table shows values that double, is it proportional?

Back

Yes, if a table shows values that double, it indicates a proportional relationship.

Front

What is the formula for a proportional relationship?

Back

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

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 does not represent a proportional relationship.

Front

How can you express the ratio of 6 hats to 7 mittens?

Back

The ratio of 6 hats to 7 mittens can be expressed as 6:7.

Front

What is the relationship between the ratios 3:4 and 6:8?

Back

The ratios 3:4 and 6:8 are equivalent because they represent the same relationship.