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Rental Car Problems and Solving Equations: Homework Review

In this homework review, we explore rental car pricing from three companies, analyzing their daily and mileage charges. Students will graph equations for Go-Go Car Rentals, Wreckem Car Rentals, and Good Rents to determine the best rental option based on distance driven. We will also tackle problems involving equations related to long-distance phone call plans and electricity usage, helping students learn to set up and solve equations effectively. Prepare for class on Wednesday, September 22nd.

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Rental Car Problems and Solving Equations: Homework Review

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  1. College AlgebraMath 130 Amy Jones Lewis

  2. Homework Review • Please see printed answers.

  3. Rental Cars

  4. Rental Car Problems • Companies that rent cars generally charge a fixed amount per day with an additional charge for each mile driven. • You have 3 options of rental car companies from which to rent a particular model of car. • Go-Go Car Rentals • Wreckem Car Rentals • Good Rents

  5. Rental Car Problems • Go-Go Car Rentals has a daily charge of $28 with an additional charge of $0.25 per mile. • Wreckem Car Rentals has a daily charge of $29.95 with an additional charge of $0.23 per mile. • Good Rents has a daily charge of $21.65 with an additional charge of $0.27 per mile.

  6. Rental Car Problems • Graph all 3 equations on your graphing calculators. • Under what circumstances would you want to rent from the different companies?

  7. Solving Equations • Consider Go-Go Care Rentals • Daily charge of $28 • Mileage charge of $0.25/mile • If you have $100, how far can you drive on a 1-day rental? • How do we set up an equation to represent this? • What are the steps for solving the equation? • If you have $74, how far can you drive on a 1-day rental?

  8. Solving Equations • A long-distance phone call plan charges $15 per month plus $0.15 for each minute of long-distance phone calls. Your monthly bill was $30. How many minutes of long-distance phone calls, m, did you make? • Jada’s electric company charges $8 per month plus $0.11 per kilowatt-hour of electricity used. If her bill was $52, how many kilowatt-hours, k, did she use? • Dylan is placing an online order for baseballs for his baseball team. The shipping cost is $8, plus it costs $2.10 per baseball ordered. Dylan only has $71 to spend on baseballs. How many baseballs, b, can he order?

  9. Solving Equations • 8n + 15 = 103 • 28 + 0.25n = 40 • 1 + 2g = 7 • 2p + 4 = 50 • 12h = 108

  10. Homework • Solving Equations • Next Class: Wednesday, September 22nd

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