Ratio and Proportional Relationships

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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like miles per hour or price per item.

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the number of units. For example, if 14 gallons of gas cost $44.10, the unit price is $44.10 ÷ 14 = $3.15 per gallon.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio is expressed in its lowest terms, meaning that both quantities have been divided by their greatest common factor.

Front

How can you determine which store offers the best buy?

Back

To determine the best buy, calculate the unit price for each option and compare them. The option with the lowest unit price is the best buy.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal. For example, if a:b = c:d, then a/b = c/d.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities increase or decrease at the same rate, maintaining a constant ratio.

Front

How do you solve for an unknown in a proportion?

Back

Front

What is the unit rate of 10:1?

Back

The unit rate of 10:1 means that for every 10 units of one quantity, there is 1 unit of another quantity.

Front

How do you express a ratio as a fraction?

Back