Snapshot of the Word Document:Drag Race.doc
In 1999, cigarette consumption in the U.S. was 125 packs per capita. This rate of consumption was 5/8 of what it was in 1980. Find the rate of consumption in 1980.Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only ¾ of world grain demand. What will world grain demand be in 2010?On Thursday,13/25 of the stocks traded on the New York Stock Exchange advanced in price. If 1495 stocks advanced, then how many stocks were traded on that day?In 1996, 23/50 of all accidental deaths in the U.S. were the result of automobile accidents (National Center for Health Statistics, www.nchs.gov). If there were 43,194 deaths due to automobile accidents, then how many accidental deaths were there in 1996?A lawyer charges $300 plus $65 per hour for a divorce. If the total charge for Bill’s divorce was $1405, then for what number of hours did the lawyer work on the case?A plumber charges $45 plus $26 per hour to unclog drains. If the bill for unclogging Tamika’s drain was $123, then for how many hours did the plumber work?If the air temperature in Quebec is 68° Fahrenheit, then the solution to the equationgives the Celsius temperature of the air. Find the Celsius temperature.If a rectangular patio has a length that is 3 feet longer than its width and a perimeter of 42 feet, then the width can be found by solving the equation 2x + 2(x+3)= 42. What is the width?The perimeter of the triangle shown in the accompanying figure is 12 meters. Determine the values of x, x + 1, and x + 2 by solving the equation x + (x + 1) + (x + 2) = 12.Jane paid 9% sales tax and a $150 title and license fee when she bought her new Saturn for a total of $16,009.50. If x represents the price of the car, then x satisfies x + 0.09x + 150 = 16,009.50. Find the price of the car by solving the equation.An electrician charged Eunice $29.96 for a service call plus $39.96 per hour for a total of $169.82 for installing her electric dryer. If n represents the number of hours for labor, then n satisfies 39.96n + 29.96 = 169.82.Find n by solving this equation.Danielle sold her house through an agent who charged 8% of the selling price. After the commission was paid, Danielle received $117,760. If x is the selling price, then x satisfies x – 0.08x = 117,760Solve this equation to find the selling price.Before Roland sold two female rabbits, half of his rabbits were female. After the sale, only onethird of his rabbits were female. If x represents his original number of rabbits, thenSolve this equation to find the number of rabbits that he had before the sale.Reginald overheard his boss complaining that his federal income tax for 2000 was $34,276.a) Use the accompanying graph to estimate his boss’s taxable income for 2000.b) Find his boss’s exact taxable income for 2000 by solving the equation 23,965.5 + 0.31(x – 105,950) = 34,276 According to Bruce Harrell, CPA, the federal income tax for a class C corporation is found bysolving a linear equation. The reason for the equation is that the amount x of federal tax is deducted before the state tax is figured, and the amount of state tax is deducted before the federal tax is figured. To find the amount of federal tax for a corporation with a taxable income of $200,000, for which the federal tax rate is 25% and the state tax rate is 10%, Bruce must solve x = 0.25[200,000 – 0.10(200,000 – x)].If the simple interest on $5000 for 3 years is $600, then what is the rate?Wayne paid $420 in simple interest on a loan of $1000 for 7 years. What was the rate?Kathy paid $500 in simple interest on a loan of $2500. If the annual interest rate was 5%, then what was the time?Robert paid $240 in simple interest on a loan of $1000. If the annual interest rate was 8%, then what was the time?The area of a rectangle is 28 square yards. The width is 4 yards. Find the length.The area of a rectangle is 60 square feet. The length is 4 feet. Find the width.If it takes 600 feet of wire fencing to fence a rectangular feed lot that has a width of 75 feet, then what is the length of the lot?If it takes 500 feet of fencing to enclose a rectangular lot that is 104 feet wide, then how deep is the lot?Find the original price if there is a 15% discount and the sale price is $255.Find the list price if there is a 12% discount and the sale price is $4400.Find the rate of discount if the discount is $40 and the original price is $200.Find the rate of discount if the discount is $20 and the original price is $250.The perimeter of a football field in the NFL, excluding the end zones, is 920 feet. How wide is the field?If a picture frame is 16 inches by 20 inches, then what is its perimeter?A rectangular box measures 2 feet wide, 3 feet long, and 4 feet deep. What is its volume?The volume of a rectangular refrigerator is 20 cubic feet. If the top measures 2 feet by 2.5 feet, then what is the height?If the circumference of a pizza is 8π inches, then what is the radius?If the circumference of a circle is 4 π meters, then what is the diameter?If a banner in the shape of a triangle has an area of 16 square feet with a base of 4 feet, then what is the height of the banner?If a right triangle has an area of 14 square meters and one leg is 4 meters in length, then what is the length of the other leg?A trapezoid with height 20 inches and lower base 8 inches has an area of 200 square inches. What is the length of its upper base?The end of a flower box forms the shape of a trapezoid. The area of the trapezoid is 300 square centimeters. The bases are 16 centimeters and 24 centimeters in length. Find the height.Doctors often prescribe the same drugs for children as they do for adults. The formula d=0.08aD (Fried’s rule) is used to calculate the child’s dosage d, where a is the child’s age and D is the adult dosage. If a doctor prescribes 1000 milligrams of acetaminophen for an adult, then how many milligrams would the doctor prescribe for an eightyearold child? Use the bar graph to determine the age at which a child would get the same dosage as an adult.Cowling’s rule is another method for determining the dosage of a drug to prescribe to a child. For this rule, the formulagives the child’s dosage d, where D is the adult dosage and a is the age of the child in years. If theadult dosage of a drug is 600 milligrams and a doctor uses this formula to determine that a child’s dosage is 200 milligrams, then how old is the child?A patient is to receive 750 mg of the antibiotic Vancomycin. However, Vancomycin comes in a solution containing 1 gram (available dose) of Vancomycin per 5 milliliters (quantity) of solution. Use the formulato find the amount to find the amount of this solution that should be administered to the patient.The global investment in telecom infrastructure since 1990 can be modeled by the formulaI = 7.5t +115where I is in billions of dollars and t is the number of years since 1990 (Fortune, September 8, 1997). See the accompanying figure.a) Use the formula to find the global investment in 1994.b) Use the formula to predict the global investment in 2001.c) Find the year in which the global investment will reach $250 billion.A2.4meter sailboat is a oneperson boat that is about 13 feet in length, has a displacement of about 550 pounds, and a sail area of about 81 square feet. To compete in the 2.4meter class, a boat must satisfy the formulawhere L = length, F = freeboard, D = girth, and S = sail area. Solve the formula for L.The distance, given that the rate is x miles per hour and the time is 3 hoursThe distance, given that the rate is x + 10 miles per hour and the time is 5 hoursThe discount, given that the rate is 25% and the original price is q dollarsThe discount, given that the rate is 10% and the original price is t yenThe time, given that the distance is x miles and the rate is 20 miles per hourThe rate, given that the distance is x – 100 meters and the time is 12 secondsTwo numbers differ by 6 and have a product of –9Herman’s house sold for x dollars. The real estate agent received 7% of the selling price, and Herman received $84,532.Gwen sold her car on consignment for x dollars. The saleswoman’s commission was 10% of the selling price, and Gwen received $6570.What percent of 500 is 100?What percent of 40 is 120?The value of x nickels and x + 2 dimes is $3.80.The value of d dimes and d – 3 quarters is $6.75.The sum of three consecutive integers is 42.The sum of three consecutive odd integers is 27.The product of two consecutive integers is 182.The product of two consecutive even integers is 168.Twelve percent of Harriet’s income is $3000.If 9% of the members buy tickets, then we will sell 252 tickets to this group.Thirteen is 5% of what number?Three hundred is 8% of what number?The length of a rectangle is 5 feet longer than the width, and the area is 126 square feet.The length of a rectangle is 1 yard shorter than twice the width, and the perimeter is 298 yards.The value of n nickels and n – 1 dimes is 95 cents.The value of q quarters, q + 1 dimes, and 2q nickels is 90 cents.The measure of an angle is 38° smaller than the measure of its supplementary angle.The measure of an angle is 16° larger than the measure of its complementary angle.For a cardiovascular work out, fitness experts recommend that you reach your target heart rate and stay at that rate for at least 20 minutes (Cycling, Burkett and Darst).To find your target heart rate, find the sum of your age and your resting heart rate, then subtract that sum from 220. Find 60% of that result and add it to your resting heart rate.a) Write an equation with variable r expressing the fact that the target heart rate for 30yearold Bob is 144.b) Judging from the accompanying graph, does the target heart rate for a 30yearold increase or decrease as the resting heart rate increases.The saddle height on a bicycle should be 109% of the rider’s inside leg measurement L (Cycling, Burkett and Darst). See the figure. Write an equation expressing the fact that the saddle height for Brenda is 36 in.Find three consecutive integers whose sum is 141.Find three consecutive even integers whose sum is 114.Two consecutive odd integers have a sum of 152. What are the integers?Four consecutive odd integers have a sum of 120. What are the integers?Find four consecutive integers whose sum is 194.If an Olympic swimming pool is twice as long as it is wide and the perimeter is 150 meters, then what are the length and width?If the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and width?Julia framed an oil painting that her uncle gave her. The painting was 4 inches longer than it was wide, and it took 176 inches of frame molding. What were the dimensions of the picture?Geraldo drove his truck from Indianapolis to Chicago, then to St. Louis, and then back to Indianapolis. He observed that the second side of his triangular route was 81 miles short of being twice as long as the first side and that the third side was 61 miles longer than the first side. If he traveled a total of 720 miles, then how long is each side of this triangular route?A banner in the shape of an isosceles triangle has a base that is 5 inches shorter than either of the equal sides. If the perimeter of the banner is 34 inches, then what is the length of the equal sides?Dr. Good’s waiting room is 8 feet longer than it is wide. When Vincent wallpapered Dr. Good’s waiting room, he used 88 feet of border paper. What are the dimensions of Dr. Good’s waiting room?A civil engineer is planning a highway overpass as shown in the figure. Find the degree measure of the angle marked w.For the other side of the overpass, the engineer has drawn the plans shown in the figure. Find the degree measure of the angle marked z.Bret drove for 4 hours on the freeway, then decreased his speed by 20 miles per hour and drove for 5 more hours on a country road. If his total trip was 485 miles, then what was his speed on the freeway?On Saturday morning, Lynn walked for 2 hours and then ran for 30 minutes. If she ran twice as fast as she walked and she covered 12 miles altogether, then how fast did she walk?Kathryn drove her rig 5 hours before dawn and 6 hours after dawn. If her average speed was 5 miles per hour more in the dark and she covered 630 miles altogether, then what was her speed after dawn?On Monday, Roger drove to work in 45 minutes. On Tuesday he averaged 12 miles per hour more, and it took him 9 minutes less to get to work. How far does he travel to work?A jet flew at an average speed of 640 mph from Los Angeles to Chicago. Because of head winds the jet averaged only 512 mph on the return trip, and the return trip took 48 minutes longer. How many hours was the flight from Chicago to Los Angeles? How far is it from Chicago to Los Angeles?Penny’s bicycle trip from Colorado Springs to Pikes Peak took 1.5 hours longer than the return trip to Colorado Springs. If she averaged 6 mph on the way to Pikes Peak and 15 mph for the return trip, then how long was the ride from Colorado Springs to Pikes Peak?The 1977 Super Bowl was played in the Rose Bowl in Pasadena. In that football game the Oakland Raiders scored 18 more points than the Minnesota Vikings. If the total number of points scored was 46, then what was the final score for the game?Revenues for the top three companies in 1997, General Motors, Ford, and Exxon, totaled $453 billion (Fortune 500 List,
