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

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(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. 7.3B STUDENT ACTIVITY #1

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? Identify the ________ being ________. Be certain to compare the corresponding ________ in the same ________. ratioscompared quantitiesorder x17 \$44.502 cost of traysnumber of trays Write a _________ using the two ________. Let x equal the cost of the _____ trays. ratios proportion 17 trays cost 2 44.50 17 x = trays cost 2 17x 44.50

Use cross products or another appropriate method to solve the proportion. The bride will pay _______ for 17 appetizer trays. 2 44.50 17 x = 2 x 44.50 = 2x1744.50=2x 17x 44.50 17 1 3 05 3 31 0 5 4 4 + 05657. 756.50 =2x 22 x = ______ 756.50 2 2 3 1 5 7. - 6 - 14 1 6 8 - 16 05 2 - 4 1 0 5 - 10 0 \$378.25 378.25

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