5. 2 Proportions 5. 2 Extension: Graphing Proportional Relationships 5

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5. 2 Proportions 5. 2 Extension: Graphing Proportional Relationships 5 5.2 Proportions 5.2 Extension: Graphing Proportional Relationships 5.3 Writing Proportions 9/26/16

Proportions A proportion is an equation stating that two ratios are equivalent. Two quantities that form a proportion are called proportional. You can check if quantities are proportional either by simplifying the fractions or by using the cross products property Cross products property: the cross products of a proportion are equal.

Example 1 Are and proportional? Prove your answer in two ways.

Example 2 Are x and y proportional? x 2 3 4 y 6 7 8

Graphs of Proportional Relationships Go through the origin (0,0) Have a constant rate of change (slope) Therefore, all graphs of proportions are straight lines passing through the origin

Page 175 Example 1

Example 3 Interpret each point on this graph of a proportional relationship.

Writing Proportions Example 4 Your units must match either horizontally or vertically, not diagonally. Example 4 You are making cookies. 2 cups of chocolate chips makes 3 dozen cookies. How many cups of chocolate chips do you need to make 12 dozen cookies?

Example 5 Your test is out of 30 points. How many do you need to get correct to score at least 80%? Solve the problem using a proportion.