Percent - XYZ Custom Plus

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RESEARCH PROJECTCredit-Card DebtCredit-card companies are now offering creditcardsto college students who would not beable to get a card under normal credit-cardcriteria (due to lack of credit history and lowincome). The credit-card industry sees youngpeople as a valuable market because researchshows that they remain loyal to their first cardsas they grow older. Nellie Mae, the student loanagency, found that 78% of college students hadcredit cards in 2000. For many of these students,lack of financial experience or educationleads to serious debt. According to Nellie Mae,undergraduates with credit-cards carried anaverage balance of $2,748 in 2000. Half ofcredit-card-carrying college students don’t paytheir balances in full every month. Choose acredit-card and find out the minimum monthlypayment and the APR (annual percentage rate).Compute the minimum monthly payment andinterest charges for a balance of $2,748.Stockbyte/SuperStock360Chapter 5 <strong>Percent</strong>
A Glimpse of AlgebraThere is really no direct extension of percent to algebra. Because that is the case,we will go back to some of the algebraic expressions we have encountered previouslyand evaluate them.To evaluate an expression, such as 5x + 4, when we know that x is 7, we simplysubstitute 7 for x in the expression 5x + 4 and then simplify the result.When x = 7the expression 5x + 4becomes 5(7) + 4or 35 + 4= 39Here are some examples.Example 1Find the value of the expression 4x + 3x − 8 when x is 2.SolutionSubstituting 2 for x in the expression, we have:Practice Problems1. Find the value of the expression6x + 3x − 10 when x is 3.4(2) + 3(2) − 8 = 8 + 6 − 8= 14 − 8= 6We say that 4x + 3x − 8 becomes 6 when x is 2.Example 2Find the value of the following expression when a is 5:Solution_4a + 83a − 8 Replacing a with 5 in the expression, we have:_4(5) + 8 = 20_ + 83(5) − 8 15 − 8 = _287 = 42. Find the value of the followingexpression when a is 10:4a + 20_5a − 20 Example 3Find the value of x 2 + 5x + 6 when x is 4.SolutionWhen x is 4, the expression x 2 + 5x + 6 becomes3. Find the value of x 2 + 6x + 8when x is 3.(4) 2 + 5(4) + 6 = 16 + 20 + 6= 42Answers1. 17 2. 2 3. 35A Glimpse of Algebra361
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