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W ARM - UP 8/27/13 1. 2. 3. Add, subtract, or multiply, then simplify.
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P OLYNOMIAL W ORD P ROBLEMS Goal: Use polynomials to represent real-life situations.
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W ORD P ROBLEMS 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
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W ORD P ROBLEM #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 = 0.321t 2 – 1.036t + 0.698 E = 0.099t 2 – 0.120t + 0.295 Find a model for the total number of commercial and education sites. T = 0.42t 2 – 1.156t + 0.993
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W ORD P ROBLEM #2 From 1890 through 1990, the number of men M and women W in the US labor force can be modeled by the following equations, where t is the number of years since 1890. M = 0.0016t 2 + 0.315t + 19.467 W = 0.007t 2 – 0.228t + 5.908 Find a model for the total number of people in the US labor force. T = 0.0086t 2 + 0.087t + 25.375
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W ORD P ROBLEM #3 A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x + 12. What is the perimeter of the triangle? 7x + 13
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W ORD P ROBLEM #4 The dimensions of a window are 3x + 10 and 2x + 6. What is the area of the window? 6x 2 +38x + 60
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W ORD P ROBLEM #5 Find the area of the figure below. 15x x 4
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W ORD P ROBLEM #6 Find the area of the figure below. 2x 2 + 14x + 24 8 2x x 3
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W ORD P ROBLEM #7 Find the area of the blue region. 6x 2 + 11x + 42 3x 6 2x 7
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W ORD P ROBLEM #8 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 = 24x 2 – 5x – 14
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PRACTICE Worksheet – “Polynomial Word Problems” Choose A scribe A manager A researcher
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M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #1
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M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #2 The profits of two different manufacturing plants can be modeled as shown, where x is the number of units produced at each plant. Use the information above to write a polynomial that represents the total profits from both plants.
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M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #3
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M ATH III P OLYNOMIAL W ORD P ROBLEMS Q UESTION #4 Write a polynomial to represent the shaded region.
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