How much time do you spend on hygiene/grooming in the morning (including showering

Chapter 3, Problem 36

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How much time do you spend on hygiene/grooming in the morning (including showering, washing face and hands, brushing teeth, shaving, and applying makeup)? The bar graph shows the time American adults spend on morning grooming. 60% 50% 40% 30% Percentage of 20% American Adults Time Americans Spend on Morning Hygiene/Grooming Time Spent on Hygiene/Grooming (minutes) 70 4 40 23 20 52 10 16 5 5 10% Source: Hygiene Matters Report, 2011 a. Write the data for 10 minutes, 20 minutes, and 40 minutes as ordered pairs (x, y), where x is the time spent on morning grooming and y is the percentage of American adults spending that much time on grooming. b. The three data points in part (a) can be modeled by the quadratic function y = ax2 + bx + c, where a 6 0. Substitute each ordered pair into this function, one ordered pair at a time, and write a system of linear equations in three variables that can be used to find values for a, b, and c. It is not necessary to solve the system.