Col Alg 1.3A Modeling with Linear Equations Ex. 1 You have accepted a job for which your annual salary will be $32,300. This salary includes a year-end bonus of $500. You will be paid twice a month. What will be your gross pay (pay before taxes) be for each pay check? Income for year = 24 checks + bonus 32,300 = 24x + 500 31,700 = 24x 1325 = x Ex. 2 You have accepted a job that pays $8 an hour. You are told that after a two-month probationary period, your hourly wage will be increased to $9 and hour. What percent raise will you receive after the two-month period? Raise = percent × old wage 1 = r × 8 1/8 = r R = .125 or 12.5%

Ex. 3 Your family has an annual income of $57,000 and the following expenses; mortage ($1100), car payment ($375), food ($295), utilities ($240) and credit cards ($220). The total value of the monthly expenses represents what percent of your family’s annual income? Monthly expenses = Percent × income 26,760 = p × 57,000 P = 0.469 or 46.9% Ex. 4 A rectangular kitchen is twice as long as it is wide, and its perimeter is 84 feet. Find the dimensions of the kitchen. 2l + 2w = P L = 2w 2(2w) + 2w = 84 6w = 84 w = 14 ft l = 28 ft

Ex. 5 A plane is flying nonstop from Atlanta to Portland, a distance of about 2700 miles. After 1.5 hours in the air, the plane flies over Kansas City (a distance of 820 miles from Atlanta). Estimate the time it will take the plane to fly from Atlanta to Portland. Distance = Rate × Time 2700 = (820/1.5)t 4050 = 820t 4.94 hrs = t p. 105 27, 28, 42, 47, 50, 51, 53, 54, 55, 59, 61