1. Abbey bought two slices of pizza and three bottles of water for $7.25. Cameron bought four slices of pizza and one bottle of water for $8.25.
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1 2-variable systems of equations word problems- HOMEWORK (Independent systems) Systems of equation word problems in Standard Form Ax+By=C Name 1. Abbey bought two slices of pizza and three bottles of water for $7.25. Cameron bought four slices of pizza and one bottle of water for $8.25. c. Using a graphing calculator, find the price of one slice of pizza and the price of one bottle of water. 2. Two cars get an oil change at the same service center. Each customer is charged a fee x (in dollars) for the oil change plus y dollars per quart of oil used. The oil change for the car that requires 5 quarts of oil costs $ The oil change for the car that requires 7 quarts of oil costs $ c. Using a graphing calculator, find the fee and cost per quart of oil.
2 3. Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. c. Using a graphing calculator, find how many quarters she has. 4. A group of friends takes a day-long tubing trip down a river. The company that offers the tubing trip charges $15 to rent a tube for a person to use and $7.50 to rent a cooler tube, which is used to carry food and water in a cooler. The friends spend $360 to rent a total of 26 tubes. c. Using a graphing calculator, find how many of each type of tube they rent.
3 5. Darlene is making a quilt and she uses two types of fabric. The Sateen fabric costs $6 per yard and the Quilting fabric costs $4 per yard. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. a. Write a system of equations using x as the amount of Quilting fabric (in yards) and y as the amount of Sateen fabric (in yards). c. Using a graphing calculator, find the amount of Quilting fabric and the amount of Sateen fabric she purchased. 6. A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189. c. Using a graphing calculator, find the cost of a soccer ball and the cost of a soccer ball bag.
4 Systems of equation word problems in Slope-intercept Form Y=mx+b 1. A cable television company offers two different pricing plans. Plan A charges $11.25 per month plus a one-time installation fee of $120. Plan B charges $18.75 per month plus a one-time installation fee of $60. b. Using a graphing calculator, find after how many months the cost of Plan A be the same as the cost of Plan B? 2. Adam and his family are planning to rent a midsize car for a one-day trip. In the Standard Rental Plan, they can rent a car for $52 per day plus 23 cents per mile. In the Deluxe Rental Plan, they can rent a car for $80 per day with unlimited mileage. a. For each plan, write an equation that represents the cost of renting a car. b. Graph the equations on your calculator. Trace the point of intersection. What is the break-even point of the rental costs? c. If Adam s family plans to drive 150 miles, which plan should they choose? Why? (Be specific!)
5 3. Ms. Geyer wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Ms. Geyer can pay $40 per month, plus a $3 signing fee. Alternately, she can get the second membership plan and pay $20 per month plus a $4 signing fee. b. If Ms. Geyer attends a certain number of classes in a month, the two membership plans end up costing the same total amount. What is that total amount? (Use a graphing calculator) 4. The Freshmen want to plan a party for June to celebrate the big accomplishment of surviving their first year. They have to decide if they are going to order pizza from Pizza Hut or Hungry Howies. Pizza Hut charges a $10 delivery fee, plus $5 for each large pizza. Alternately, Hungry Howies charges a $15 delivery fee, plus $4.50 for each large pizza. b. If the Freshmen buy a certain number of pizzas, the cost of choosing either company will be the same. What is the total cost? (Use a graphing calculator)
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