Flashcard 5.3-5.4 Review Is It Proportional?

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal. For example, for ratios \( \frac{a}{b} \) and \( \frac{c}{d} \), they form a proportion if \( a \times d = b \times c \).

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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as \( k \).

Front

If \( 8 : 9 \) is compared to \( 24 : 18 \), is this a true proportion?

Back

No, \( 8 : 9 \) is not equal to \( 24 : 18 \), so it is not a true proportion.

Front

What is the first step to check if two ratios are proportional?

Back

Calculate the cross products of the two ratios and compare them.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the ratio between two quantities changes, such as the cost of items with a fixed fee added.

Front

How can you represent a proportional relationship in a table?

Back

In a table, a proportional relationship will show that as one quantity increases, the other increases at a constant rate.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero in a proportional relationship.