Problem 1E: Explain in your own words what it means for an equation to model a real-world situation, and give an... Problem 2E: In the formula I = Prt for simple interest. P stands for _____, r for _____, and t for _____. Problem 3E Problem 4E: Balsamic vinegar contains 5% acetic acid, so a 32-oz bottle of balsamic vinegar contains _____... Problem 5E Problem 6E: The formula d = rt models the distance d traveled by an object moving at the constant rate r in time... Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E: Cell Phone Costs A cell phone company charges a monthly fee of 10 for the first 1000 text messages... Problem 21E: Investments Phyllis invested 12,000, a portion earning a simple interest rate of 412 per year and... Problem 22E: Investments If Ben invests 4000 at 4% interest per year, how much additional money must he invest at... Problem 23E Problem 24E Problem 25E: Salaries An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 8500.... Problem 26E Problem 27E Problem 28E: Overtime Pay Helen earns 7.50 an hour at her job, but if she works more than 35 hours in a week, she... Problem 29E Problem 30E Problem 31E: A Riddle A movie star, unwilling to give his age, posed the following riddle to a gossip columnist:... Problem 32E: Career Home Runs During his major league career, Hank Aaron hit 41 more home runs than Babe Ruth hit... Problem 33E: Value of Coins A change purse contains an equal number of pennies, nickels, and dimes. The total... Problem 34E: Value of Coins Mary has 3.00 in nickels, dimes, and quarters. If she has twice as many dimes as... Problem 35E: Length of a Garden A rectangular garden is 25 ft wide. If its area is 1125 ft2, what is the length... Problem 36E Problem 37E: Dimensions of a Lot A square plot of land has a building 60 ft long and 40 ft wide at one comer. The... Problem 38E Problem 39E: Dimensions of a Garden A rectangular garden is 10 ft longer than it is wide. Its area is 875 ft2.... Problem 40E Problem 41E Problem 42E Problem 43E: Dimensions of a Lot A rectangular parcel of land is 50 ft wide. The length of a diagonal between... Problem 44E: Dimensions of a Track A running track has the shape shown in the figure, with straight sides and... Problem 45E Problem 46E Problem 47E: Framing a Painting Ali paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He... Problem 48E: Dimensions of a Poster A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of... Problem 49E Problem 50E Problem 51E: Length of a Shadow A man is walking away from a lamppost with a light source 6 m above the ground.... Problem 52E: Height of a Tree A woodcutter determines the height of a tall tree by first measuring a smaller one... Problem 53E Problem 54E: Mixture Problem What amount of pure acid must be added to 300 mL of a 50% acid solution to produce a... Problem 55E: Mixture Problem A jeweler has five rings, each weighing 18 g, made of an alloy of 10% silver and 90%... Problem 56E: Mixture Problem A pot contains 6 L of brine at a concentration of 120 g/L. How much of the water... Problem 57E: Mixture Problem The radiator in a car is filled with a solution of 60% antifreeze and 40% water. The... Problem 58E Problem 59E: Mixture Problem A bottle contains 750 mL of fruit punch with a concentration of 50% pure fruit... Problem 60E: Mixture Problem A merchant blends tea that sells for 3.00 an ounce with tea that sells for 2.75 an... Problem 61E: Sharing a Job Candy and Tim share a paper route. It takes Candy 70 min to deliver all the papers,... Problem 62E Problem 63E: Sharing a Job Betty and Karen have been hired to paint the houses in a new development. Working... Problem 64E: Sharing a Job Next-door neighbors Bob and Jim use hoses from both houses to fill Bobs swimming pool.... Problem 65E: Sharing a Job Henry and Irene working together can wash all the windows of their house in 1 h 48... Problem 66E: Sharing a Job Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works... Problem 67E: Distance, Speed, and Time Wendy took a trip from Davenport to Omaha, a distance of 300 mi. She... Problem 68E: Distance, Speed, and Time Two cyclists, 90 mi apart, start riding toward each other at the same... Problem 69E: Distance, Speed, and Time A pilot flew a jet from Montreal to Los Angeles, a distance of 2500 mi. On... Problem 70E: Distance, Speed, and Time A woman driving a car 14 ft long is passing a truck 30 ft long. The truck... Problem 71E: Distance, Speed, and Time A salesman drives from Ajax to Barrington, a distance of 120 mi, at a... Problem 72E: Distance, Speed, and Time Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased... Problem 73E: Distance, Speed, and Time It took a crew 2 h 40 min to row 6 km upstream and back again. If the rate... Problem 74E: Speed of a Boat Two fishing boats depart a harbor at the same time, one traveling east, the other... Problem 75E: Law of the Lever The figure shows a lever system, similar to a seesaw that you might find in a... Problem 76E: Law of the Lever A plank 30 ft long rests on top of a flat-roofed building, with 5 ft of the plank... Problem 77E: Dimensions of a Box A large plywood box has a volume of 180 ft3. Its length is 9 ft greater than its... Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E: Dimensions of a Lot A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer... Problem 83E: Construction Costs The town of Foxton lies 10 mi north of an abandoned east-west road that runs... Problem 84E: Distance, Speed, and Time A boardwalk is parallel to and 210 ft inland from a straight shoreline. A... Problem 85E: Volume of Grain Grain is falling from a chute onto the ground, forming a conical pile whose diameter... Problem 86E Problem 87E Problem 88E Problem 89E: An Ancient Chinese Problem This problem is taken from a Chinese mathematics textbook called... Problem 90E Problem 91E format_list_bulleted