Proportional Relationships

Front

What is a proportion?

Back

When two ratios are equivalent and show the same value.

Front

What is a ratio?

Back

A comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find the constant of proportionality (k)?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

If there are 4 apples and 2 bananas, what is the ratio of apples to bananas?

Back

The ratio of apples to bananas is 4:2 or simplified to 2:1.

Front

In a proportional relationship, what happens to one quantity if the other quantity is multiplied by a number?

Back

The other quantity is also multiplied by the same number.

Front

What is a non-proportional relationship?

Back

A relationship where the ratio between two quantities is not constant.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the ratio of pears to the total number of fruits if there are 5 pears, 4 apples, and 2 bananas?

Back

The ratio of pears to total fruits is 5:11.

Front

What is the formula for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.