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

What is the scale factor?

Back

The scale factor is a number that scales, or multiplies, a quantity. For example, in a proportional relationship, if the scale factor is 1/3, it means the second quantity is one-third of the first.

Front

How do you find the missing value in a proportional relationship?

Back

To find the missing value, set up a proportion using the known values and cross-multiply to solve for the unknown.

Front

If a recipe calls for 2 cups of milk for 5 servings, how much milk is needed for 1 serving?

Back

0.4 cups of milk.

Front

If a dessert recipe requires 2 cups of milk for 5 servings, how many cups are needed for 8 servings?

Back

3 1/2 cups.

Front

What does the equation y = kx represent in proportional relationships?

Back

In this equation, y is directly proportional to x, and k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values are equal.

Front

What is the scale in a map?

Back

The scale in a map shows the ratio of a distance on the map to the actual distance it represents.

Front

If the scale is 1cm = 8km, what is the actual distance for 24cm on the map?

Back

192 km.