2-6 Ratios and Proportions A.REI.1, A.REI.3

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2-6 Ratios and Proportions A.REI.1, A.REI.3

A ratio is a comparison of two numbers by division Can be written as x to y, x:y, or x/y An equation stating that two ratios are equal is called a proportion.

Example 1: Determine Whether Ratios Are Equivalent

Example 2: Cross Products Use cross products to determine whether each pair of ratios forms a proportion

Example 3: Solve a Proportion

Example 4: Real World In the past two years, a retailer has opened 232 stores. If the rate of growth remains constant, how many stores will the retailer open in the next 3 years?

Example 5: Scale and Scale Models The Ramsey Cascades Trail is about 1 1/8 inches long on a map with scale 3 inches=10 miles. What is the actual length of the trail? On a model airplane, the scale is 5 centimeters=2 meters. If the model’s wingspan is 28.5 centimeters, what is the actual wingspan?

Example 6: CCSS In 2007, organic farms occupied 2.6 million acres in the United States and produced goods worth about $1.7 billion. Divide one of these numbers by the other and explain the meaning of the result.