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 quantity is constant.

Front

How can a proportional relationship be expressed mathematically?

Back

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

Front

What does the constant 'k' represent in the equation y = kx?

Back

The constant 'k' represents the ratio of y to x in a proportional relationship.

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

What is the first step to determine if a table shows a proportional relationship?

Back

Check if the ratios of corresponding values are equal.

Front

In a proportional relationship, what does it mean if a graph passes through the origin?

Back

It means that when the value of x is 0, the value of y is also 0, indicating a direct relationship.

Front

If there are 5 apples for every 2 oranges, how many oranges are there if there are 15 apples?

Back

There are 6 oranges.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

6 cups of sugar are needed.