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Solving Equations Real-World Problems

Solving Equations Real-World Problems. INDEX. Real World Applications: Phone Charges Health Club Fees Vacation Expenses (renting an airplane) Business (Teddy Bear sales) Business (Tote bag sales). Phone Charges.

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Solving Equations Real-World Problems

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  1. Solving EquationsReal-World Problems

  2. INDEX • Real World Applications: • Phone Charges • Health Club Fees • Vacation Expenses (renting an airplane) • Business (Teddy Bear sales) • Business (Tote bag sales)

  3. Phone Charges • One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plan the same? Need Help 

  4. Phone Charges…what’s important? • Plan A: One telephone company charges $16.95 per month and $0.05 per minute for local calls. • Plan B: Another company charges $22.95 per month and $0.02 per minute for local calls. • QUESTION: what number of minutes of local calls per month is the cost of the plan the same • HINT… per means multiply Check your Answer 

  5. Phone Charges 16.95 + 0.05m = 22.95 + 0.02m -0.02m-0.02m 16.95 + 0.03m = 22.95 -16.95-16.95 0.03m = 6.00 0.03 0.03 m = 200 minutes Return to Index

  6. Health Club Fees • One health club charges a $44 sign-up fee and $30 per month. Another health club charges a $99 sign-up fee and $25 per month. For what number of months is the cost the same? Need Help 

  7. Health Club Fees Club A: $44 sign-up fee + $30 per month Club B: $99 sign-up fee + $25 per month QUESTION: # minutes cost A = cost B 44 + 30m = 99 + 25m m = 11 months Return to Index

  8. Flying • You and a pilot friend decide to rent an airplane to do some sightseeing. One service charges $100 plus $80 per hour, while another charges $250 plus $70 per hour for the same airplane. At what number of hours is the cost the same? Need Help 

  9. Flying • Plane A: $100 + $80 per hour • Plane B: $250 + $70 per hour • QUESTION: number hours Plane A = Plane B 100 + 80h = 250 + 70h h = 15 hours Return to Index

  10. Business (teddy bears) • A toy company spends $1500 each day for factory expenses plus $8 per teddy bear. Each teddy bear sells for $12. How many bears must the company sell in one day to break even? Need Help 

  11. Business (teddy bears) • expenses: $1500 + $8 per bear • revenue: $12 per bear • QUESTION: break even… expenses = revenue 1500 + 8b = 12b b = 375 teddy bears Return to Index

  12. Business (tote bags) • A company manufactures tote bags. The company spends $1200 each day for overhead expenses plus $9 per tote bag for labor and materials. The tote bags sell for $25 each. How many tote bags must the company sell each day to break even? Need Help 

  13. Business (tote bags) • expenses: $1200 + $9 per bag • revenue: $25 per bag • QUESTION: break even… expenses = revenue 1200 + 9b = 25b b = 75 tote bags Return to Index

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