Ratios, Rates, 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 rate?

Back

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

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, often used to simplify comparisons.

Front

How do you find the unit rate from a total?

Back

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

Front

What is a proportion?

Back

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

Front

How can you tell if two ratios form a proportion?

Back

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

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

If 88 students are divided into 4 classes, how many students are in each class?

Back

22 students per class (88 ÷ 4 = 22).

Front

What is the formula to find a unit rate?

Back

Unit Rate = Total Quantity ÷ Number of Units.