Ratios and Proportions 6.12

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

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 4:1), as a fraction (e.g., 4/1), or in words (e.g., '4 to 1').

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication, where you multiply the outer terms and the inner terms and set them equal to each other.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers.

Front

If Carlos earns $18 for 2 hours of work, how much does he earn per hour?

Back

Carlos earns $9 per hour ($18 ÷ 2 hours = $9/hour).

Front

If the ratio of single hits to homeruns is 4 to 1, how many single hits are there if there are 5 homeruns?

Back

There would be 20 single hits (4 single hits for every 1 homerun, so 4 x 5 = 20).

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.

Front

How can you represent a ratio on a graph?

Back

You can represent a ratio on a graph by plotting points that correspond to the values of the two quantities being compared.

Front

What is a table of values?

Back

A table of values lists pairs of numbers that show the relationship between two quantities, often used to represent ratios or proportions.