6.5B Proportions

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, cross-multiply the two ratios and then solve for the unknown variable.

Front

If 4 gallons of gasoline cost $16.80, what is the price per gallon?

Back

$4.20 per gallon.

Front

If a 12-ounce bottle of shampoo lasts 16 weeks, how long will an 18-ounce bottle last?

Back

24 weeks.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

If 3/4 = x/16, what is the value of x?

Back

x = 12.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to compare prices, determine rates, and solve problems involving scaling.

Front

What is a unit rate?

Back

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