Real World Applications System of equations System of

Real World Applications System of equations System of Inequalities

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