Day 41 - Flashcard: 6.12bc Unit Rates & Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you earn $50 for 2 hours of work, the unit rate is $25 per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you earn $200 for 8 hours of work, the unit rate is $200 ÷ 8 = $25 per hour.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then a*d = b*c.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios. It helps in identifying patterns and finding missing values.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

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

Back

To find a missing value in a ratio table, you can use equivalent ratios or cross-multiplication.

Front

What is the formula for finding the unit rate of speed?

Back

The formula for finding the unit rate of speed is: Speed = Distance ÷ Time.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the difference between a faster rate and a slower rate?

Back

A faster rate means completing a task in less time compared to another rate, while a slower rate means taking more time to complete the same task.