Section 2.3 Applications of Linear Equations When Solving a Word Problem . . . Problem-Solving Step 1 Read and understand what the question is asking. Step 2 Draw a picture if applicable. Step 3 Assign a variable Step 4 Set up and solve an equation. Step 5 Check your answer and see if it makes sense. Step 6 State the answer with appropriate units. Great reference chart on p. 67 in your book. Example 1 (#32) The perimeter of a certain rectangle is 16 times the width. The length is 12 cm more than the width. Find the length and width of the rectangle. Example 2 (#34) The Vietnam Veterans Memorial in Washington, D.C. is in the shape of two sides of an isosceles triangle. If the two walls of equal length were joined by a straight line of 438 ft, the perimeter of the resulting triangle would be 931.5 ft. Find the lengths of the two walls. Example 3 (#38) In 2009, the New York Yankees and the New York Mets had the highest payrolls in Major League Baseball. The Mets’ payroll was $65.6 million less than the Yankee’s payroll, and the two payrolls totaled $337.2 million. What was the payroll for each team? Example 4 (#42) Composite scores on the ACT exam rose from 20.8 in 2002 to 21.1 in 2009. What percent increase was this, to the nearest tenth of a percent? Example 5 (#44) In 1995, the average cost of tuition and fees at private four-year universities in the U.S. was $12,216 for full-time students. By 2009, it had risen approx. 115.1%. To the nearest dollar, what was the approximate cost in 2009? Example 6 (#50) Sheryl Zavertnik won $60,000 on a slot machine in Las Vegas. She invested part of the money at 2% simple interest and the rest at 3%. In one year, she earned a total of $1600 in interest. How much was invested at each rate? Example 7 (#56) How many liters of a 14% alcohol solution must be mixed with 20 L of a 50% solution to get a 30% solution? Liters of Solution Percent (as a decimal) Liters of Pure Alcohol Example 8 (#60) How much water must be added to 6 gal of a 4% insecticide solution to reduce the concentration to 3%? Example 9 (#54) Mona received a bonus of $17,000. She invested the money in an account paying 6.5%. How much additional money should she deposit in an account paying 5% so that the return on the two investments will be 6%? Questions??? Don’t forget to check on your due dates! 2.1 & 2.3 are due on Sunday!