Real World Applications System of equations System of Inequalities

Warm Up: Solve each system Graphing: Y = 2/3x + 4 Y = 2x - 3 Substitution 3x – 4y = -5 Y = 5x -3 Elimination 3x + 2y = 1 X - 4y =-9 System of Inequalities:

Homework Questions:

Hint: Remember when a total is given the equation will be in standard form When total is missing it is an equation in slope intercept form Your unit of measurements always go together Example: money money MUST be with money

Let try some real world application: Define your variables Set up each equation Solve using the best method Answer what is ask.

Handout Cut each equation Glue them in the order that you cut. MUST leave room to workout problem.

Example 1: A-Tunes requires a membership fee of $12 a month and $1 for each download. Bapstar requires a membership fee of $5 a month but charges $1.50 for each download. When do the charges for the two companies equal each other?

Example 2: Rent-A-SUV charges $100 fee to rent a truck and $12 per mile. Mavis Rental Company charges a $150 fee to rent a truck and $8.50 per mile. When do the two rental companies equal? If you are taking a trip that requires you to drive 150 miles, which company should you choose?

Example 3: Beth bought 3 apples and 2 oranges at the local market for $3.90. The next day she bought 5 apples and 3 oranges and paid $6.30. How much does each apple and each orange cost?

Example 4: The senior class wants to raise money for the senior gift by selling T-shirts. They must pay a $250 set up fee to get the t-shirts printed. Each shirt will cost them $3.00. If they sell the t-shirts for $8 each, how many shirts must they sell to raise $2,000?

Take out yesterday’s guided note: What would a real world application of an inequalities system look like?

Real world applications: The SAT has two parts, math and verbal. The maximum score is 1600. For admission to the school of your choice, you need at least a 600 in math. Write a system of inequalities to model the situation.

Real world applications: A psychologist needs at least 40 subjects for her experiment. She cannot use more than 30 children. Write a system of inequalities to model the situation.

Real world applications: Suppose you are buying two kinds of notebooks for school. A spiral notebook costs $2, and a three-ring notebook costs $5. You must have at least six notebooks. The cost of the notebooks can be no more than $20. Write a system of inequalities to model the situation.

Real world applications: A camp counselor needs not more than 30 campers to sign up for two mountain hikes. The counselor needs at least 10 campers on the low trail and at least 5 campers on the high trail. Write a system of inequalities to model the situation.

Let write some Journal: Finish for homework