Applications of Systems

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Presentation transcript:

Applications of Systems

Translate to a system of equations: Graphing Substitution Elimination Ex1) Tahquitz High sold 300 tickets to a football game and made $1575. If an adult ticket cost $6 and a child ticket cost $3, how many of each kind of ticket were sold at the game? Define the variables: Let x = Let y = Translate to a system of equations: Equation 1: Equation 2: Method for solving: Circle One: Graphing Substitution Elimination

Solve:

Answer: (Written in a complete sentence)

Translate to a system of equations: Graphing Substitution Elimination Ex2) Sharon and Maria are selling holiday wreaths as a fundraiser for their school. Sharon sold 10 ivy wreaths and 9 holly wreaths and collected $282. Maria sold 5 of each type of wreath and collected $150. How much did they charge for each type of wreath? Define the variables: Let x = Let y = Translate to a system of equations: Equation 1: Equation 2: Method for solving: Circle One: Graphing Substitution Elimination

Solve:

Answer: (Written in a complete sentence)

Translate to an Inequality: Ex3) Mr. Kelly, Mr. Brust and Mr. Sullivan all met by one common interest, THE BOBSLED! In fact they were pretty darn good, they were just one-thousandth of a second from qualifying for the medals at the 1998 Nagano, Japan Winter Olympics. While bobsledding, they had to maintain a balance, in terms of weight. The weight of the bobsled combined with the weight of the three men couldn’t be over 1200 pounds. Define the variables: Let x = Let y = Translate to an Inequality: READ A, B C Below. Equation 1: Method for solving: Circle One: Graphing

a) Create an inequality where x represents the weight of the bobsled and y represents the weight of the three men. Graph the inequality below. Include proper labeling on each axis, units and shading.

b) If the bobsled weighed 480 pounds what are all the possible weights of the three men combined? c) Could the bobsled weigh 520 pounds and the men weigh 685 pounds? Why or why not? Explain how your answer can be interpreted by using the graph?

Homework Textbook – Pg. 173 # 37 Pg. 166 #61