Applications of Consecutive Integers

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Presentation transcript:

Applications of Consecutive Integers Example 1: The sum of three consecutive page numbers in a textbook is 237. What are the page numbers? 1) Variable declaration: Let x = first integer Let x + 1 = second integer Let x + 2 = third integer

The sum of three consecutive page numbers in a textbook is 237 The sum of three consecutive page numbers in a textbook is 237. What are the page numbers? 2) Write the equation: sum means add is means equals

The sum of three consecutive page numbers in a textbook is 237 The sum of three consecutive page numbers in a textbook is 237. What are the page numbers? 3) Solve the equation:

The sum of three consecutive page numbers in a textbook is 237 The sum of three consecutive page numbers in a textbook is 237. What are the page numbers? 4) Write an answer in words, explaining the meaning in light of the application The consecutive page numbers are: 78, 79, and 80.

Applications of Consecutive Integers Example 2: The perimeter of a triangle is 150 in. The lengths of the sides are represented by consecutive even integers. Find the measures of the sides. 1) Variable declaration: Consecutive Even pattern means add 2

The perimeter of a triangle is 150 in The perimeter of a triangle is 150 in. The lengths of the sides are represented by consecutive even integers. Find the measures of the sides. 2) Write the equation: perimeter means the sum of the lengths of the sides

The perimeter of a triangle is 150 in The perimeter of a triangle is 150 in. The lengths of the sides are represented by consecutive even integers. Find the measures of the sides. 3) Solve the equation:

The perimeter of a triangle is 150 in The perimeter of a triangle is 150 in. The lengths of the sides are represented by consecutive even integers. Find the measures of the sides. 4) Write an answer in words, explaining the meaning in light of the application The sides of the triangle are: 48 in., 50 in., and 52 in.

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