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

If y is directly proportional to x, what is the equation that represents this relationship?

Back

y = kx, where 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 find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you travel 150 miles on 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

What is the unit rate of $3.60 for 3 pounds of apples?

Back

$1.20 per pound.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 7 is 1/7.

Front

If 28b = w, what does b represent?

Back

b represents the number of concrete blocks.

Front

If you have a recipe that requires 16 tbsp of honey for 20 cups of flour, how much honey is needed for 1 cup of flour?

Back

0.8 tbsp of honey.

Front

What is the relationship between distance, rate, and time?

Back

Distance = Rate × Time.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.