Ratio Tables, Rates, Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

Front

How do you find the unit rate from a rate?

Back

To find the unit rate, divide the first quantity by the second quantity to determine how much of the first quantity corresponds to one unit of the second.

Front

If Jose swims 3 laps in 2 minutes, how many laps does he swim in 1 minute?

Back

1.5 laps.

Front

If a car travels 231 miles using 7 gallons of gas, how do you calculate miles per gallon?

Back

Divide the total miles by the total gallons: 231 miles ÷ 7 gallons = 33 miles per gallon.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form a ratio, helping to visualize the relationship between the quantities.

Front

How do you find a missing value in a ratio table?

Back

Use the known ratios to set up a proportion and solve for the missing value.

Front

If Sam buys 3 pounds of lunch meat for $20.25, how do you find the cost per pound?

Back

Divide the total cost by the total weight: $20.25 ÷ 3 pounds = $6.75 per pound.

Front

How do you calculate the cost for a different weight using a unit price?

Back

Multiply the unit price by the new weight. For example, if the unit price is $6.75 per pound, for 5 pounds: $6.75 × 5 = $33.75.