Desk 1 Christopher started with $125 in his savings account to buy a used car. Each week he deposits $50 into the account. a) b) What is the initial value? What is the rate? Desk 3 Jose the plumber uses the equation C = 65h + 100 to determine the charge of his services, C, after working h hours. a) What is the initial value? b) What is the hourly rate? Desk 5 Kristina is running the freshman class fundraiser. They are selling key chains as a fundraiser. They spend $100 on materials and charge $2 a key chain. The amount of money they make is computed using the equation y = 2x – 100, where x represents the number of key chains sold. a) What is the initial value? b) What is the rate? Desk 7 Ismael started the day with an irrigation pipe 120 ft long. Each section added is 15 ft long. The equation L = 15s + 120 determines the total length of the pipe as new sections of pipe, s, were welded on to the end. a) What is the total length after 8 sections have been added? Desk 2 A plumber charges a $25 initial fee for a service call plus $50/hour. The equation C = 50h + 25 determines the charge of his services, C, after working h hours. a) What is the initial value? b) What is the hourly rate? Desk 4 Awa’s parents are saving to buy a new car for her 16th birthday. The equation y = 125x + 3200 represents the relationship between the number of months her parents have been saving (x) and the amount in their account (y). a) What does the number 3200 represent in the question? b) What does the number 125 represent in the question? Desk 6 Farmer Ali had a well on his property 200 feet deep. When it went dry, he hired a company to drill the well deeper. He used the equation d = -75t – 200 to find the depth of the well, d, using the number of days the company drilled, t. a) What is the initial depth? b) What is the rate? c) What is the depth after 2 days of drilling? Desk 8 It costs Corporal Motors $500,000 to outfit their new car line. The company used the equation p = 2500c – 500,000 to determine the amount of profit, p, earned from the sale of cars, c. a) What is the profit after selling 650 cars? Desk 9 Laura lights a candle in her kitchen. The height of the candle is represented by the equation y = -½ x + 6, where x is the time in hours the candle has been burning and y is the height of the candle in inches. a) What was the height of the candle before Laura lit it? (initial value) b) What is the height after 4 hours? Desk 10 Elizabeth has been paying her credit card bill since January 1st. The equation B = -100m + 675 represents the relationship between the time she has been paying, m, and the amount of her credit card bill, B. a) How much money did Elizabeth owe at the beginning of the year? b) How much did she owe after 3 months? Desk 11 Aminata joins a CD club. She pays $15 for the membership and $6 for each CD that she buys. Desk 12 Kayla has $1500 in her bank account. She spends $150 each week. Write an equation that represents the relationship between the amount in Kayla’s bank account, A, and the # of weeks she has been spending, w. How much is in her account after 4 weeks? Write an equation that models the relationship a) between the cost Aminata pays, y, and the number of CDs Aminata buys, x. b) Solve for the cost if she buys 12 CD’s. a) b) Desk 13 Priscilla begins working at Macy’s. She will be paid a daily amount plus a commission of her total sales. The equation y = 0.10x + 15 represents the amount Priscilla will make based on her total sales, where y is the amount of money Priscilla makes in one day and x is her total sales. How much will Priscilla make if she sells $650? Desk 14 Steven is learning to scuba dive. The equation D = 20L + 15 represents the depth he can dive in feet, D, based on the number of lessons he has had, L. Desk 15 Airport DVD rentals is offering a new special for the busy holiday travel season. You can rent a portable DVD player and DVDs to take on your flight. Desk 16 David works at the T-shirt Shack selling tees. The equation y = 15x – 520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold. How deep can Steven dive after he takes 13 a) lessons? a) # of DVDs Rented 1 4 Total Cost 19 31 How many t-shirts does the a) T-shirt Shack need to sell to make a profit of $140? Write an equation to represent the relationship a) between the # of DVDs rented, d, and the total cost, c. Use the equation to solve for the cost if you rent b) 10 DVDs. Desk 17 Alejandra paints faces at kids’ birthday parties to earn extra money. The equation M = 2.50f + 12 represents the relationship between the money she makes, M, and the number of faces she paints, f. Alejandra wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint? Desk 18 Kyle is training for a marathon. The equation y = 3x + 5.5 represents the number of miles Kyle can run over time, where y is the number of miles Kyle runs and x is the number of weeks Kyle has been training. How long will it take Kyle to be ready to run the entire marathon of 26.5 miles? Desk 19 Ricardo is draining his pool for the winter. There are 240 gallons in the pool and it is decreasing at a rate of 20 gallons per hour. Desk 20 Mamma McGurkin is planning Thanksgiving dinner. The number of pounds of turkey she will buy depends on the number of people she invites to dinner. # of People Invited Pounds of Turkey 1 ½ 20 10 a) a) Write an equation to represent the relationship between the amount of water in the pool, y, and the number of hours the pool has been draining, x. b) How long does it take to drain the pool? a) Write an equation to represent the relationship a) between the number of people invited, x, and the number of pounds of turkey needed, y. If 12 people are invited, how much turkey will she need to buy? If she buys 36 pounds of turkey, how many people could she invite? b) c) Student Answer Sheet: Desk 1 Desk 2 Christopher’s car: A plumber charges: C = 50h + 25 a) What is the initial value? a) What is the initial value? b) What is the rate? b) What is the hourly rate? Desk 3 Desk 4 Awa’s car: y=125x+3200 Jose charges: C = 65h + 100 a) What is the initial value? b) What is the hourly rate? Desk 5 a) What does the number 3200 represent in the context of the problem? b) What does the number 125 represent in the context of the problem? Desk 6 Farmer Ali: d = -75t – 200 Kristina’s fundraiser: y = 2x – 100 a) b) a) What is the initial depth? b) What is the rate? What is the initial value? What is the rate? c) What is the depth after 2 days of drilling? Desk 7 Desk 8 Ismael: L = 15s + 120 Corporal Motors: p = 2500c – 500,000 a) What is the total length after 8 sections have been added? a) Desk 9 What is the profit after selling 650 cars? Desk 10 Laura’s candle: y = -½ x + 6 Elizabeth’s credit card: B = -100m + 675 a) What was the height of the candle before Laura lit it? (initial value) a) How much money did Elizabeth owe at the beginning of the year? b) b) What is the height after 4 hours? How much did she owe after 3 months? Desk 11 Aminata’s CD club: Desk 12 Kayla’s bank account. a) a) Write an equation: y = _________ Write an equation: A = _________ b) Solve for the cost if she buys 12 CD’s. b) How much is in her account after 4 weeks? Desk 13 Priscilla’s pay: y = 0.10x + 15 Desk 14 Steven scuba dive: D = 20L + 15 a) a) How deep can Steven dive after he takes 13 lessons? How much will Priscilla make if she sells $650? Desk 15 Airport DVD rentals: # of DVDs Rented 1 4 a) Write an equation: b) Cost to rent 10 DVDs? Desk 16 Total Cost 19 31 David’s tees: y = 15x – 520 a) How many t-shirts does the T-shirt Shack need to sell to make a profit of $140? Desk 17 Alejandra face painting: M = 2.50f + 12 Desk 18 Kyle’s marathon: y = 3x + 5.5 a) a) Alejandra wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint? Desk 19 Ricardo’s pool: a) How long will it take Kyle to be ready to run the entire marathon of 26.5 miles? Desk 20 Thanksgiving dinner: # of People Invited 1 20 Write an equation: b) How long does it take to drain the pool? a) Pounds of Turkey ½ 10 Write an equation: b) If 12 people are invited, how much turkey will she need to buy? c) If she buys 36 pounds of turkey, how many people could she invite?