ratios and proportions

Front

What is a ratio?

Back

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

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

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per'.

Front

If 5 pounds of concrete cost $40, what is the unit rate?

Back

$8 per pound.

Front

What does it mean if a table represents a proportional relationship?

Back

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

Front

How can you tell if a table does not show a proportional relationship?

Back

If the ratios of the quantities do not remain constant, then the table does not represent a proportional relationship.

Front

What is the formula to find the price per gallon of gas?

Back

Price per gallon = Total cost / Number of gallons.

Front

If it costs $46.80 to fill a 13-gallon tank, what is the price per gallon?

Back

$3.60 per gallon.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.