Seni Guia Algebra 2 Worksheet: Section 2.5 - Writing a Linear Equation Answer each of the following word problems. 1) Rod is paid an overtime rate of $25 per hour after his basic wage of $600 per week. Write an equation in slope-intercept form for the total pay p if he works h hour of overtime. 2 = 25 x +600. 2) An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. Write an equation to represent the height of the airplane in feet above the ground y in relationship to time in minutes x. y = 30 00 0X - 2000 3) Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $172.50. Write a linear equation to represent the total in the checking account y according to the day x. 4 = 180 x + 172. 50 1 = 180 ( 3 ) + 172- 50 y = 712.5 4) A plumber charges a fee of $50 to make a house call. He also charges $25 an hour for labor. Write an equation that you could use to find the amount a plumber charges for a house call based on the number of hours of labor. Let x represent the number of hours for labor and y represent the total cost. y = 25x + 50 5) Suppose you have $55 in your bank account. You start saving $10 each week. account "a" a) Write an equation that relates the number of weeks "w" to the amount of money you have in your y = 55x +10 b) How much money will you have in your account in 7 weeks? 1 = 5 5 ( 7 ) +10 385 + 10 2 = 3956) A credit card gives you three percent back on all your purchases. At the beginning of the month, you have $235 credited to your account. a) Write an equation that relates the amount of your purchases "p" to the amount you have in your account "b". b) How much will be in your account if you make $690 worth of purchase in the next month. 7) A communications company offers a variety of calling card options. Card A has a 30 cent connection fee and then costs 2 cents per minute. a) Write an equation that relates the number of minutes "n" to the cost of the call "c" b) How long could you talk for $15.10? Extra Credit: You are sent to the store to buy sliced meat for a party. You are told to get roast beef and turkey, and you are given $30. Roast beef is $4.29/lb and turkey is $3.99/1b. a) Write an equation in standard form to relate the pounds of each kind of meat you could buy at the store with $30. b) If you know you need 2 pounds of turkey, how much roast beef can you buy