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 terms and then solve for the unknown variable.

Front

If a car travels 280 miles in 7 hours, what is its speed in miles per hour?

Back

40 miles per hour.

Front

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

Back

24 weeks.

Front

What is the formula for finding the height of an object using shadows?

Back

Height of object / Length of shadow = Height of another object / Length of its shadow.

Front

If a 6-foot person casts a 2-foot shadow, how tall is a flagpole that casts a 10-foot shadow?

Back

30 feet.

Front

What is the cross-multiplication method?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

How can proportions be used in real life?

Back

Proportions can be used in cooking, scaling models, and determining distances.

Front

What is the relationship between direct variation and proportions?

Back

Direct variation is a specific type of proportion where one variable is a constant multiple of another.