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 do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the total amount of one quantity by the total amount of the other quantity.

Front

If 12 students out of 30 play the trumpet, what is the ratio of trumpet players to total students?

Back

The ratio is 12:30, which simplifies to 2:5.

Front

What is the missing number if the ratio of cats to dogs is 2 to 3 and there are 60 dogs?

Back

There are 40 cats.

Front

How many tablespoons of honey are needed for 20 cups of flour if the ratio is 2 tbsp honey for every 5 cups of flour?

Back

16 tablespoons of honey are needed.

Front

What is the formula to find a missing value in a proportional relationship?

Back

If a/b = c/d, then ad = bc.

Front

If a jet flies 430 miles in 1 hour, what is the distance it flies in 5 hours?

Back

2150 miles.

Front

What is the constant of proportionality in the relationship y = 3x?

Back

The constant of proportionality is 3.

Front

If the ratio of boys to girls in a class is 3:4 and there are 21 boys, how many girls are there?

Back

There are 28 girls.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.