Proportions, Rates, and Unit Rates

Front

What is a proportion?

Back

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

Front

What is a ratio?

Back

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

Front

How do you determine if two ratios form a proportion?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If 3:5 is equivalent to x:15, what is x?

Back

x = 9.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity.

Front

If a car travels 300 miles in 5 hours, what is the unit rate of speed?

Back

The unit rate of speed is 60 miles per hour.

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.

Front

If 4:6 is simplified, what is the simplest form?

Back

The simplest form of 4:6 is 2:3.