Lesson 3.6 Terms

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# Lesson 3.6 Terms - PowerPoint PPT Presentation

Lesson 3.6 Terms. A ratio is a comparison of two numbers by division. An equation that has two ratios that are equal is called a proportion . To determine whether something is a proportion, you cross multiply to see if the numbers are equal.

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Presentation Transcript
Lesson 3.6 Terms
• A ratio is a comparison of two numbers by division.
• An equation that has two ratios that are equal is called a proportion.
• To determine whether something is a proportion, you cross multiply to see if the numbers are equal.
Determine whether the ratios and form a proportion. Example 6-1a

Answer:The ratios are equal. Therefore, they form a proportion.

Write the equation.

Find the cross products.

Simplify.

Answer: The cross products are not equal, so . The ratios do not form a proportion.

Example 6-2a

Use cross products to determine whether the pair of ratios below forms a proportion.

Do the ratios and form a proportion?Example 6-1b

Use cross products to determine whether the pair of ratios below forms a proportion.

Solve the proportion .

Original equation

Find the cross products.

Simplify.

Divide each side by 8.

Simplify.

Example 6-3a
Bicycling The gear on a bicycle is 8:5. This means that for every eight turns of the pedals, the wheel turns five times. Suppose the bicycle wheel turns about 2435 times during a trip. How many times would you have to turn the pedals during the trip?

turns of the pedals

turns of the pedals

wheel turns

wheel turns

Example 6-4a

ExploreLet p represent the number of times needed to crank the pedals.

PlanWrite a proportion for the problem.

Original proportion

Solve

Find the cross products.

Simplify.

Divide each side by 5.