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(7.3) Patterns, relationships, and algebraic thinking.

7.3B STUDENT ACTIVITY #1. (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to:

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(7.3) Patterns, relationships, and algebraic thinking.

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  1. 7.3B STUDENT ACTIVITY #1 (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to: (B) estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.

  2. Problem #1: A caterer has been hired to make trays of appetizers for a wedding reception. The price for 2 trays is $44.50. The bride has ordered 17 trays. How much will she pay for 17 trays of appetizers? ratios compared • Identify the ________ being ________. Be certain to compare the corresponding ________ in the same ________. quantities order number of trays trays cost of trays cost 2 $44.50 44.50 2 17 x 17 x ratios proportion • Write a _________ using the two ________. Let x equal the cost of the _____ trays. 17 trays 2 17 = 44.50 cost x

  3. 2 17 = x 44.50 - 6 2 2 x x = = - 14 2 2 - 16 - 4 - 10 • Use cross products or another appropriate method to solve the proportion. 3 7 8 2 5 378.25 17 2 . 756.50 2 3 3 x 44.50 44.50 x 17 5 1 31 1 5 0 2 x = 44.50 17 • 44.50 17 0 4 5 4 + 1 6 756.50 756.50 7 756.50 5 6 5 0 . 2 0 5 x = ______ 0 1 0 The bride will pay _______ for 17 appetizer trays. $378.25

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