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Systems of Equations

Systems of Equations . Two many Variables; Two many Equations. How many Equations should I have?. Every unknown quantity (variable) needs an equation. E.g. 1) How old are Sarah and Arturo? Unknowns : Sarah’s age and Arturo’s age (2 variables) We need 2 equations.

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Systems of Equations

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  1. Systems of Equations Two many Variables; Two many Equations

  2. How many Equations should I have? • Every unknown quantity (variable) needs an equation. • E.g. 1) How old are Sarah and Arturo? • Unknowns : Sarah’s age and Arturo’s age (2 variables) • We need 2 equations. • E.g. 2) Which phone plan is cheaper, A or B? • Unknowns : cost of phone plans A and B ( 2 variables) • We need 2 equations.

  3. Al's Movies charges $7.00 for a membership and $1.00 per each movie rental. Example: Al's Movies charges $7.00 for a membership and $1.00 per each movie rental. • Al's Movies charges $7.00 for a membership and $1.00 per each movie rental. Beth's Videos has no membership fee and charges $2.75 per movie rental. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. Beth's Videos has no membership fee and charges $2.75 per movie rental. Beth's Videos has no membership fee and charges $2.75 per movie rental. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s.

  4. Al's Movies charges $7.00 for a membership and $1.00 per each movie rental. Data: Cost at Al’s Movies: A A No. of movies: m m Unknowns: $7.oo Important info: $7.oo membership = + • Equa Make an Equation:

  5. Beth's Videos has no membership fee and charges $2.75 per movie rental. Data: Cost at Beth’s Movies: B B No. of movies: m m Unknowns: $0.oo Important info: $0.oo membership = + • Equa Make an Equation:

  6. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. cheaper then Al’s Movies Beth’s Movies cheaper then A B < $7.oo m = = • m + •

  7. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. Al’s Movies Beth’s Movies < – $7.oo m • m + •

  8. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. Al’s Movies Beth’s Movies < ( – ) $7.oo • m • m •

  9. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. Al’s Movies Beth’s Movies < ( – ) $7.oo • m

  10. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. Al’s Movies Beth’s Movies < ( ) $7.oo • 4 movies • m

  11. How many movies must a customer rent for Al’s Movies to be cheaper then Beth’s. < < 4 movies. 4 movies m > A customer must rent more than

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