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Download Algebra II Notes # Date Examples: Travis and his band are planning
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Algebra II Notes # ______________ Date __________________ How do I use graphing systems of equations to solve applications problem? 1. 2. 3. 4. 5. Put first equation in _______ Put second equation in __________ Press Zoom 6 If you don’t see the _____________________ press Zoom 0 If you still don’t see the __________________ press Zoom 3, then Enter 6. Repeat step 5 until you see the ______________________ Type 1: Business/Cost Analysis Problems Key Words: “ MAKE A PROFIT” Step One: Write a cost equation for the information. C(x) = __________________+ ____________ • x Step Two: Write a Revenue function R(x) = __________________ • x Step Three: _______________ and find the ___________________ Type 2: Comparing Two Companies Key Words: “Break Even, Surpass, which is a better deal?” Step One: Write an equation describing the price/cost, etc… of the 1st company y = ____________________ + ___________ per item (x) Step Two: Write and equation describing the price/cost, etc… of the 2nd company y = ___________________ + _____________ per item (x) Think: What if the company doesn’t offer a per item price? For example, if your cell phone company charges $100 for unlimited minutes and text messaging. What would the equation look like? Step Three: _________________ and find the ____________________. Algebra II Notes # ______________ Date __________________ Examples: 1. Travis and his band are planning to record their first CD. The initial start-up cost is $1500, and each CD will cost $4 to produce. They plan to sell their CDs for $10 each. How many CDs must the band sell before they make a profit? Which Type? ___________ EQ1 __________________________ EQ2 __________________________ Answer: ________________________ 2. A service club is selling copies of their holiday cookbook to raise funds for a project. The printer’s set up charge is $200, and each book costs $2 to print. The cookbooks will sell for $6 each. How many cookbooks must the members sell before they make a profit? Which Type? _________________ EQ1 __________________________ EQ2 __________________________ Answer: ________________________ 3. Adam and his family are planning to rent a midsize car for a one-day trip. In the Standard Rental Plan, they can rent a car for $52 per day plus 23 cents per mile. In the Deluxe Rental Plan, they can rent a car for$80 per day with unlimited mileage. What is the break even point for the two rental plans? If the family is planning to drive 150 miles, which plan should they choose? Which type? ___________________ EQ1 __________________________ Break Even Point __________________ EQ2 __________________________ Which plan is best for 150mi? _______________ 4. Location mapping needs new software. Software A costs $13,000 plus $500 per additional site license. Software B costs $2500 plus $1200 per additional site license. Write two equations that represent the cost of each software. Estimate the break even point of the software cost. If Location mapping needs 25 licenses, which software package should they buy? Which Type? ____________________ EQ1 ___________________________ Break even point: _________________ EQ2 ___________________________ Answer: ________________________ (3, -4) is a solution to which system of equations: x + y = -1 3x – y = 13 x + 2y = -1 2x – 3y = 18 -x – y = 1 3x + y = 5
