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messersmith_power_intermediate_algebra_1e_ch4_7_10

12P 32. Find the price at which demand for the shovels equals the supply. Use the following formula for Exercises 39 and 40. A wire is stretched between two poles separated by a distance d, and a weight is in the center of the wire of length L so that the wire is pulled taut as pictured here. The vertical distance, D, between the weight on the wire 2L2 d 2 and the top of the poles is given by D 2 . D d 39) A 12.5-ft clothesline is attached to the top of two poles that are 12 ft apart. A shirt is hanging in the middle of the clothesline. Find the distance, D, that the shirt is hanging down. 40) An 11-ft wire is attached to a ceiling in a loft apartment by hooks that are 10 ft apart. A light fi xture is hanging in the middle of the wire. Find the distance, D, between the ceiling and the top of the light fi xture. Round the answer to the nearest tenths place. 35) Attendance at Broadway plays from 1996 to 2000 can be modeled by y 0.25x2 1.5x 9.5 where x represents the number of years after 1996 and y represents the number of people who attended a Broadway play (in millions). (Statistical Abstracts of the United States) a) Approximately how many people saw a Broadway play in 1996? b) In what year did approximately 11.75 million people see a Broadway play? 36) The illuminance E (measure of the light emitted, in lux) of a light source is given by E 1 d 2 where I is the luminous intensity (measured in candela) and d is the distance, in meters, from the light source. The luminous intensity of a lamp is 2700 candela at a distance of 3 m from the lamp. Find the illuminance, E, in lux. 37) A sandwich shop has determined that the demand for its turkey sandwich is 65 P per day, where P is the price of the sandwich in dollars. The daily supply is given by 10P 3. Find the price at which the demand for the sandwich equals the supply. 38) A hardware store determined that the demand for shovels one winter was 2800 P , where P is the price of the shovel in dollars. The supply was given by R3) What do you fi nd most diffi cult about doing applied problems? R1) Have you ever had to calculate volume or area before studying this section? R2) Are you allowed to have negative answers for volume or area? 652 CHAPTER 10 Quadratic Equations and Functions www.mhhe.com/messersmith


messersmith_power_intermediate_algebra_1e_ch4_7_10
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