7-1 ratios and proportions class notes and examples
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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?TRANSCRIPT
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7-1 Ratios and Proportions
Class Notes and Examples
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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.
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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?
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Notes You can also use a given ratio to write and
solve equations.
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Examples 2.) The measures of two complementary
angles are in the ratio of 1 : 3. What are the measures of the angles?
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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?
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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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Notes
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Examples
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Examples