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

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## VARIABLES ON BOTH SIDES STORY PROBLEMS

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**VARIABLES ON BOTH SIDES STORY PROBLEMS**“THE TOUGH STUFF”**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?**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**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**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**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**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?**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.**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.**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**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?**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?**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?**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?**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?**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?**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?**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?**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?**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.**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.**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.**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.**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.**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.**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.**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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?**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??**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.**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 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**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**ASSIGNMENT**• 7-5: 17, 28, 33, 35 - 40

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