Unit 8 Proportional Relationships Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

How do you calculate the unit rate from a given quantity?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if there are 120 customers in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the ratio of baseball players to soccer players if there are 10 baseball players and 5 soccer players?

Back

The ratio is 10:5, which simplifies to 2:1.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate.

Front

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

Back

If the ratio of the corresponding values in the table is constant, then the relationship is proportional.

Front

What is the equation of a proportional relationship?

Back

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

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

What is the ratio of apples in the fridge to apples on the table if there are 20 apples in the fridge and 9 on the table?

Back

The ratio is 20:9.