6.1: Graphing Systems of Equations October 29, 2015: Algebra 1.

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Presentation transcript:

6.1: Graphing Systems of Equations October 29, 2015: Algebra 1

Globo-Gym offers two deals for new customers. The first offer is a one time fee of $90.00 to join the gym and then $6.00 per month for membership. The second offer has no money down and charges $12.00 per month. 1.) Create two functions to represent the cost for each type of membership 2.) Graph both on the same set of axes. 3.) Determine when the cost would be the same. 4.) Determine when offer 1 would be the better value. 5.) Determine when offer 2 would be the better value.

Systems of Equations Two or more equations together with the same variable. Systems of equations can have three types of answers Exactly One: The ordered pair is a solution to ALL equations. On the graph, it is where the two graphs intersect Infinite: Every ordered pair that is a solution to one equation is a solution to the other equations. The graphs of both equations are exactly the same. No Solution: There is no ordered pair which is a solution to one equation that can be the solution to the other equation. Graphically, the lines are parallel.

Solve the System by Graphing

Solve the system by graphing

Your Turn

The cost of producing the iPhone cover your company makes is $3.00 per cover with an addition $12 (thousand) for overhead cost. Your same company sells the cover for $9.00 per case. Determine when your company will break even?