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10–5Problem-Solving Investigation:Make a ModelEXAMPLE Use the Make a Model StrategyMAIN IDEA• Solve problems bymaking a model.SOUP CANS Soup cans in a grocery store display arearranged in the shape of a triangle. The top row has onecan, and each row below it has one more can than theprevious row. How many rows are there in the display if28 cans are used?UNDERSTANDYou need to know how many rows are in thedisplay. There iseach row below it hascan in the top row andcan thanHOMEWORKASSIGNMENTPage(s):Exercises:PLANSOLVECHECKthe previous row. You have usedcans.Make a model using blocks to find the numberof rows in the display.Begin with 30 blocks. Place one block torepresent the one can in the top row. For thenext row, place two blocks under the firstblock. For each consecutive row, continueadding one block to the amount of blocks inthe previous row.By continuing this pattern, 1 + 2 + 3 + 4 + 5+ 6 + 7 or soup cans will be needed tomakerows.28 - 7 - 6 - 5 - 4 - 3 - 2 - 1 leaves noextra soup cans.Check Your Progress CHAIRS Sandy is setting up chairsfor the school band concert. If she places 5 chairs in the frontrow and each row behind the front row has two more chairsthan the previous row, how many rows of chairs will be neededto seat 147 people?Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.252 Math Connects, Course 1