30 CHAPTER 1 Critical Thinking Skills 20. Energy and Exercise Refer to the table given in Exercise 19. a) For breakfast, Laila ate a fried egg and drank a glass of skim milk. How long would it take for her to use up the energy from her breakfast by cycling? 23.14 min b) For dessert, Javier ate a piece of strawberry shortcake and drank a chocolate milkshake. How long would it take for him to use up the energy from his dessert by swimming? 72 min c) For lunch, Desmond ate a hamburger and drank a glass of skim milk. How long would it take for him to use up the energy from his lunch by walking? 76 min d) For dinner, Talia ate a hamburger and drank a chocolate milkshake. How long would it take for her to use up the energy from her dinner by running? 46.88 min 21. Gas Mileage Choi fills his car’s gas tank completely and writes down the odometer reading of 102,477.1 miles. The next time he stops for gas, it takes 14.2 gallons of gas to fill the tank and the odometer reading is 102,910.2 miles. a) Determine the gas mileage, in miles per gallon, that Choi’s car got on this tank of gas. 30.5 mpg b) Assuming his gas mileage remains the same, determine the number of gallons of gas Choi will need to drive to and from a teacher’s conference—a trip that is 115 miles each way. 7.54 gal c) If gas costs $3.29 pergallon, how much will Choi pay for the gas needed for the trip? $24.81 22. Gas Mileage Tyler fills his truck’s gas tank completely and writes down the odometer reading of 72,257.8 miles. The next time he stops for gas, it takes 19.2 gallons of gas to fill the tank and the odometer reading is 72,555.4 miles. a) Determine the gas mileage, in miles per gallon, that Tyler’s truck got on this tank of gas. 15.5 mpg b) Assuming his gas mileage remains the same, determine the number of gallons of gas Tyler will need to drive to and from the State Fair—a trip that is 124 miles each way. 16 gal c) If gas costs $4.23 per gallon, how much will Tyler pay for the gas needed for the trip? $67.68 23. Mail-Order Purchase Fatima purchased 4 tires by mail order. She paid $52.80 per tire plus $5.60 per tire for shipping and handling. There is no sales tax on this purchase because the tires were purchased out of state. She also had to pay $8.56, including tax, per tire for mounting and balancing. At a local tire store, her total for the 4 tires with mounting and balancing would be $324 plus an 8% sales tax. How much did Mary save by purchasing the tires through the mail? $82.08 15. Buying a House The Browns want to purchase a house that costs $150,000. They plan to take out a $120,000 mortgage on the house and put $30,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $887.63 and with a 30-year mortgage their monthly payment would be $572.90. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. $46,470.60 16. Car Loan Horace wants to purchase a new Ford F-150 Lightning truck that costs $54,000. He pays $20,000 down and borrows the $34,000 balance from his credit union. If Horace borrows the money for 4 years, his monthly payment will be $795. If Horace borrows the money for 5 years, his monthly payment will be $650. Determine the amount of money Horace would save by borrowing the balance for 4 years rather than 5 years. $840 17. Getting a 90 Average Carissa’s first four test grades are 88, 96, 91, and 83. What grade must Carissa earn on the fifth test to have a 90 average? 92 18. Getting an 80 Average On four exams, Wallace’s grades were 79, 93, 91, and 68. What grade must he obtain on his fifth exam to have an 80 average? 69 19. Energy and Exercise The following table gives the approximate energy values of some foods, in kilojoules (kJ), and the energy requirements of some activities. Food Energy Value (kJ) Activity Energy Consumption (kJ/min) Chocolate milkshake 2200 Walking 25 Fried egg 460 Cycling 35 Hamburger 1550 Swimming 50 Strawberry shortcake 1400 Running 80 Glass of skim milk 350 a) How soon would you use up the energy from a fried egg by walking? 18.4 min b) How soon would you use up the energy from a hamburger by swimming? 31 min c) How soon would you use up the energy from a piece of strawberry shortcake by cycling? 40 min d) How soon would you use up the energy from a chocolate milkshake by running? 27.5 min
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