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messersmith_power_prealgebra_1e_ch4_7_10

Group Activity – Modeling with Polynomial Equations 1) Do you think there is a relationship between the age of a group of drivers and the number of fatal accidents caused by drivers in that age group? Explain. The number of fatal vehicle crashes, y, per 100 million miles driven, can be approximated by the equation y 0.013x2 1.19x 28.24, where x is the age of the driver. 2) Evaluate the polynomial when x 20, and explain what it means in the context of the problem. 3) Evaluate the polynomial when x 75, and explain what it means in the context of the problem. 4) Based on your answers to #2 and #3, describe the relationship between age and number of fatal accidents per 100 million miles driven. 5) Evaluate the polynomial when x 40, and explain what it means in the context of the problem. Does this follow the relationship you described in #4? 6) Which age group do you think will have the fewest fatal accidents per 100 million miles driven? Discuss with your group members and come to an agreement. 7) Share your prediction with that of two other groups in the class. Test each prediction by evaluating the polynomial for the different x-values. Based on your tests, which age group has the fewest fatal accidents per 100 million miles driven? 8) Make a sketch on the set of axes below of what you think the graph representing age vs. number of fatal accidents per 100 million miles driven would look like. x y 9) Evaluate the polynomial when x 3. Does it make sense within the context of the situation to fi nd this value? Explain. www.mhhe.com/messersmith CHAPTER 10 emPOWERme 801


messersmith_power_prealgebra_1e_ch4_7_10
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