Proportions

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

If 2 apples cost $20, how much do 5 apples cost?

Back

$50

Front

What is the constant of proportionality in the equation y = 14x?

Back

14

Front

Does the equation x - 5 = y form a proportion?

Back

No, because the line does not pass through the origin.

Front

What is the formula for finding a proportional relationship?

Back

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

Front

If y = 19.25x, what does 19.25 represent?

Back

The constant of proportionality.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can you check if 3/4 and 6/8 are proportional?

Back

Cross multiply: 3 * 8 = 24 and 4 * 6 = 24, since they are equal, they are proportional.

Front

What does it mean if two ratios are not proportional?

Back

It means that the cross products of the ratios are not equal.