VARIABLES ON BOTH SIDES STORY PROBLEMS - PowerPoint PPT Presentation

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VARIABLES ON BOTH SIDES STORY PROBLEMS

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  1. VARIABLES ON BOTH SIDES STORY PROBLEMS “THE TOUGH STUFF”

  2. A business representative is looking to rent a car. Rent-a-wreck charges $60 per day plus $0.20 per mile. Lemon Leasers charges $30 per day plus $0.50 per mile. At what miles are the costs the same?

  3. A business representative is looking to rent a car. Rent-a-wreck charges $60 per day plus $0.20 per mile. Lemon Leasers charges $30 per day plus $0.50 per mile. At what miles are the costs the same? • Cost for Rent-a-wreck = 60 + .2m

  4. A business representative is looking to rent a car. Rent-a-wreck charges $60 per day plus $0.20 per mile. Lemon Leasers charges $30 per day plus $0.50 per mile. At what miles are the costs the same? • Cost for Rent-a-wreck = 60 + .2m • Cost for Lemon Leasers = 30 + .5m

  5. A business representative is looking to rent a car. Rent-a-wreck charges $60 per day plus $0.20 per mile. Lemon Leasers charges $30 per day plus $0.50 per mile. At what miles are the costs the same? • Cost for Rent-a-wreck = 60 + .2m • Cost for Lemon Leasers = 30 + .5m • Set the two equal to each other

  6. A business representative is looking to rent a car. Rent-a-wreck charges $60 per day plus $0.20 per mile. Lemon Leasers charges $30 per day plus $0.50 per mile. At what miles are the costs the same? • Cost for Rent-a-wreck = 60 + .2m • Cost for Lemon Leasers = 30 + .5m • Set the two equal to each other • 60 + .2m = 30 + .5m

  7. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  8. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? • This is a “same direction” problem.

  9. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? • This is a “same direction” problem. • When going the same direction, the distances are equal.

  10. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? • This is a “same direction” problem. • When going the same direction, the distances are equal. • Use the formula d = rt

  11. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  12. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  13. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  14. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  15. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  16. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  17. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  18. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  19. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe?

  20. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? Set the distances equal to each other and solve.

  21. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? Set the distances equal to each other and solve.

  22. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? Set the distances equal to each other and solve.

  23. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? Set the distances equal to each other and solve.

  24. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? Set the distances equal to each other and solve.

  25. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? The t solved for was the time that JOE was on the road. Jane’s time was (t – 15), or 45 minutes.

  26. Joe leaves his house and travels at a rate of 6 mi/h. His sister, Jane, realizes that Joe has forgotten his lunch and goes after him 15 minutes later. She travels at a rate of 8 mi/h. How long does it take Jane to catch up to Joe? **BE SURE TO ANSWER THE QUESTION ASKED.

  27. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  28. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  29. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  30. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  31. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  32. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  33. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  34. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  35. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  36. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  37. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  38. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  39. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  40. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  41. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  42. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  43. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will?

  44. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will? Is 7 hours the answer to the question??

  45. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will? Is 7 hours the answer to the question?? This question asked for “what time”. That means the actual clock time.

  46. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will? Since t was the time for Will, add 7 hours to his departure time.

  47. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will? Since t was the time for Will, add 7 hours to his departure time. Will left at 6:00 am. Wayne catches him 7 hours later, or at 1:00 pm

  48. Will takes a bus to Cedar Point. He leaves at 6:00 am and travels at a rate of 50 mi/h. Wayne rides in a car with his friends and follows the same route. If Wayne leaves at 8:00 am, and travels at a rate of 70 mi/h, at what time does Wayne catch up to Will? Since t was the time for Will, add 7 hours to his departure time. Will left at 6:00 am. Wayne catches him 7 hours later, or at 1:00 pm **Be sure to include the proper am vs. pm designation

  49. ASSIGNMENT • 7-5: 17, 28, 33, 35 - 40