Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin.

Front

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

Back

A table represents a proportional relationship if the ratios of the values in each row are equivalent.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line must pass through the origin (0,0) to indicate that when one quantity is zero, the other is also zero.

Front

What type of graph represents a proportional relationship?

Back

A linear graph that passes through the origin.

Front

If a graph is curvy, does it represent a proportional relationship?

Back

No, a curvy graph does not represent a proportional relationship.

Front

What is the formula for finding a constant of proportionality?

Back

The constant of proportionality (k) can be found by dividing one quantity by the other (y/x = k).

Front

If a hamburger costs $6 for 3 pounds, what is the cost per pound?

Back

The cost per pound is $2.

Front

If Alicia buys 10 pounds of hamburger at $3 per pound, how much will she pay?

Back

Alicia will pay $30.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.