Rates, Ratios, and Proportions

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

What is a rate?

Back

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

Front

What is a proportion?

Back

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

Front

How do you solve for x in a proportion?

Back

Cross-multiply the two ratios and then solve for x.

Front

If 3/5 = x/15, what is x?

Back

x = 9.

Front

If 4/7 = x/21, what is x?

Back

x = 12.

Front

What does it mean to interpret a table of values?

Back

Interpreting a table of values involves understanding the relationship between the variables presented in the table.

Front

In the table, if 10 minutes corresponds to 2 miles, what is the rate?

Back

The rate is 2 miles per 10 minutes, which simplifies to 1 mile per 5 minutes.

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

How can you express a ratio of 4 to 5?

Back

You can express it as 4:5 or as the fraction 4/5.