1.3 Problem-Solving Procedures 31 30. Off-Site Airport Parking Fiona is flying out of town for business. She can park her car in the long-term parking lot at the airport for $30 per day, or she can park her car at an offsite location, Park N Fly, for $17.95 per day. The tax rate for parking at the airport is 9.5%, and the tax rate for parking at Park N Fly is 8.75%. Fiona plans to be gone for 6 days. a) Determine Fiona’s total cost, including tax, to park her car in the long-term parking lot at the airport for the 6 days. $197.10 b) Determine Fiona’s total cost, including tax, to park her car at Park N Fly for the 6 days. $117.12 c) How much money can Fiona save by parking at Park N Fly instead of the long-term parking at the airport? $79.98 31. Adjusting for Inflation Assume that the rate of inflation is 5% per year for the next 2 years. If a gallon of milk today costs $4.29, what will a gallon of milk cost in 2 years? $4.73 32. Investing You place $1000 in a mutual fund. The first year, the value of the fund increases by 10%. The second year, the value of the fund decreases by 10%. Determine the value of the fund at the end of the second year. Is it greater than, less than, or equal to your initial investment? $990, less than initial investment 33. X-rays With a certain medical insurance policy, the customer must first pay an annual $100 deductible, and then the policy covers 80% of the cost of x-rays remaining after the deductible. The first insurance claims for a specific year submitted by Yungchen are for two x-rays. The first x-ray cost $720, and the second x-ray cost $980. How much, in total, will Yungchen need to pay for these x-rays? $420 34. Dental Plan Without insurance, dental office visits cost patients $130, dental x-rays cost $215, and fluoride treatments cost $55. With Holly’s dental insurance plan, she pays a $25 co-pay per dental office visit. The plan also pays 90% of the cost of x-rays and 80% of the cost of fluoride treatments. a) How much would the dental office visit, including x-rays and fluoride treatment, cost Holly if she did not have insurance? $400 b) How much would the same visit cost Holly if she is using her insurance plan? $57.50 35. Purchasing Flashlights The manager of a Louisiana hardware store is stocking up on heavy-duty flashlights prior to the start of hurricane season. One supplier is selling boxes of 20 flashlights for $240, and a second supplier is selling boxes of 12 flashlights for $180. Only complete boxes can be purchased, and the manager can purchase flashlights from either or both suppliers. a) Determine the maximum number of flashlights that can be purchased for $425. Indicate how many boxes of 20 and how many boxes of 12 will be purchased. 1 box of 20 and 1 box of 12 b) What is the total price for the flashlights purchased? $420 24. Rain or Snow A plane is flying at an altitude of 15,000 ft, where the temperature is ° −6 F. The nearby airport, at an altitude of 3000 ft, is reporting precipitation. If the temperature increases ° 2.4 F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at ° 32 F. Snow 25. Tax and Tip The cost of the Majewskis’ meal before tax and tip is $56.28. a) Determine the cost of the meal including a 7.5% tax. $60.50 b) If the Majewskis wish to give their waiter a 20% tip on the pretax cost of the meal, determine the amount of the tip. $11.26 c) Determine the entire cost of the Majewskis’ meal, including the tax and the tip. $71.76 26. Hotel Tax The cost of a hotel room in Center City is $175 per night plus an 8.5% sales tax. A tourist surcharge of $75 per night is also charged but the surcharge is not subject to the sales tax. The Crenshaws stay at the hotel for three nights. a) Determine the cost of the hotel prior to taxes and surcharges. $525 b) Determine the cost of the sales tax. $44.63 c) Determine the cost of the surcharge. $225 d) Determine the Crenshaws’ total cost for staying the three nights. $794.63 27. Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128 oz.) 4106.25 gal b) If water costs $11.20 per 1000 gal, how much additional money is being spent on the water bill? $45.99 28. Leaking Faucet A faucet is leaking at a rate of one drop of water per second. Assume that the volume of one drop of water is 0.1 cubic centimeter (0.1 cm ). 3 a) Determine the volume of water in cubic centimeters lost in 1 year. 3,153,600 cm3 b) How many days would it take to fill a rectangular basin 30 cm by 20 cm by 20 cm? 1.4 days ≈ 29. Tire Pressure When a car’s tire pressure is 30 pounds per square inch (psi), it averages 20.8 mpg of gasoline. If the tire pressure is increased to 35 psi, the car averages 21.6 mpg of gasoline. a) If Mr. Levy drives an average of 20,000 mi per year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35 psi? 35.61 gal ≈ b) If gasoline costs $3.00 pergallon, how much will he save in a year? $106.83 c) If we assume that there are about 140 million cars in the United States and that these changes are typical of each car, how many gallons of gasoline would be saved if all drivers increased their cars’ tire pressure? 4,985,400,000 gal ≈
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