8-1 – 8-4 Polynomial Word Problems

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Presentation transcript:

8-1 – 8-4 Polynomial Word Problems Goal: Use polynomials to represent real-life situations. Eligible Content: A1.1.1.5.1

Word Problems Decide if the problem involves addition, subtraction or multiplication. If polynomials are given: add, subtract or multiply like normal. If polynomials are not given: use a formula. Area = length times width Perimeter = add all sides

Word Problem #1 From 1991 through 1998, the number of commercial C and education E Internet websites can be modeled by the following equations, where t is the number of years since 1991. C = 0.321t2 – 1.036t + 0.698 E = 0.099t2 – 0.120t + 0.295 Find a model for the total number of commercial and education sites. T = 0.42t2 – 1.156t + 0.993

Word Problem #2 From 1890 through 1990, the total number of people T and the number of men M in the US labor force can be modeled by the following equations, where t is the number of years since 1890. T = 0.0086t2 + 0.087t + 25.375 M = 0.0016t2 + 0.315t + 19.467 Find a model for the number of women in the US labor force. W = 0.007t2 – 0.228t + 5.908

Word Problem #3 A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x + 12. What is the perimeter of the triangle? 7x + 13

Word Problem #4 The dimensions of a window are 3x + 10 and 2x + 6. What is the area of the window? 6x2 +38x + 60

Word Problem #5 Find the area of the figure below. x2 + 19x + 60 15 x 4 x

Word Problem #6 Find the area of the figure below. 8 2x 3 2x2 + 14x + 24 8 2x 3 x

Word Problem #7 The cost of a video game can be modeled by the equation C = 3x + 2. The number of games sold can be modeled by the equation N = 8x – 7. Write a model for the revenue from the sale of the games. R = 24x2 – 5x – 14

The profit a business makes is found by subtracting the cost to produce an item C from the amount earned in sales S. The cost to produce and the sales amount could be modeled by the following equations, where x is the number of items produced. C = 100x2 + 500x – 300 S = 150x2 + 450x + 200 Find an equation that models the profit. A. 50x2 – 50x + 500 B. –50x2 – 50x + 500 C. 250x2 + 950x + 500 D. 50x2 + 950x + 100

Write an expression for the area of the rectangle. A. 7x + 3 units2 B. 12x2 + 11x + 2 units2 C. 12x2 + 8x + 2 units2 D. 7x2 + 11x + 3 units2

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Homework Worksheet – “Polynomial Word Problems” Get “Notebook Check Grade Sheet” signed