7-1 Ratios and Proportions Class Notes and Examples.

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7.1 Ratios and Proportions

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Presentation transcript:

7-1 Ratios and Proportions Class Notes and Examples

Notes  A ratio is a comparison of two quantities using division.  i.e. For every 2 apples in my fridge, there are 4 oranges.  An extended ratio compares three or more quantities.  i.e. For every 2 apples in my fridge there are 4 oranges and 6 kiwi  After writing a ratio, reduce it as far as possible.

Example  1.) A pigmy rattlesnake has an average length of 18 in., while a Western diamondback rattlesnake averages a length of 5 ft 6 in. What is the ratio of the length of a pigmy rattlesnake to the length of a Western diamondback rattlesnake?

Notes  You can also use a given ratio to write and solve equations.

Examples  2.) The measures of two complementary angles are in the ratio of 1 : 3. What are the measures of the angles?

Examples  3.) The lengths of the sides of a triangle are in the extended ratio 2 : 4 : 5. The perimeter of the triangle is 77 in. What is the length of the longest side?

Notes  A proportion is an equation that shows that two ratios are equivalent, or equal.  If the proportion contains a variable, you can solve for it by cross multiplying (multiply the values on diagonal and set them equal to each other).

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