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Investigation 3

Investigation 3. Variables and Patterns. Vocab. Terms. Rule--A way to describe or show a predictable relationship. It may be written in words or in the form of an equation/formula. Ex. 2 5 11 23 47 … The rule In words: Take the current number and double it and then add one

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Investigation 3

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  1. Investigation 3 Variables and Patterns

  2. Vocab. Terms • Rule--A way to describe or show a predictable relationship. It may be written in words or in the form of an equation/formula. • Ex. 2 5 11 23 47 … The rule • In words: Take the current number and double it and then add one • In an equation: 2n + 1 = a, where n = the current number and a = the answer

  3. Vocab. Terms (cont.) • Equation/Formula—A rule written in the form of a number sentence using variables. The independent variable is combined with coefficients and constants to figure out the answer/dependent variable. • Ex. Matthew purchases music from Yahoo Music. They have a new program where you can pay $5.00 per year for a membership and only $0.75 per song you down load. • The rule: After paying $5.00, it will cost Matthew 75 cents fpr each song • The equation: 0.75s + 5 = c Where s is the number of songs, c is the total cost (number of song plus membership fee), 0.75 is the coefficient, and 5 is the constant.

  4. In a TABLE In a GRAPH Independent Variable and the Dependent Variable Relationship • In a EQUATION I. V. D. V I. V. (+, -, x, /) constant = D. V D. V OR I. V. I. V. D. V

  5. PEMDAS P P is for Parentheses E E is for exponent or finding the root M D M is for multiplication and D is for division Begin at the left and complete in the order of appearance in the problem A S A is for addition and S is for subtraction Begin at the left and complete in the order of appearance in the problem

  6. Multiplication • Multiplication can be shown in four ways • 12 x p = c is the same as • 12p = c • 12(p) = c • 12 p = c .

  7. Division • Division may be shown as • P /12 = C (remember fractions are incomplete division problems) • P ÷ 12 = C • 12 P C

  8. Starting 3.3 • What is an expense/cost? • The amount a person spends on supplies, materials, etc. • What is income? • The amount paid by the customer • What is profit? • The difference (subtraction) between the income and expense/cost. The extra money you have after paying all of your expenses. Income – Expense/Cost = Profit

  9. 3.3 (cont.) • You need to figure out what the income and expense/cost is for one item in order to determine the profit. • Example: Ten candy bars are sold for $6.50. Each candy bar costs $0.45 to make. How much profit is made after selling the 10 candy bars? • Answer: • 6.50 divided by 10 = 0.65 • 0.65(income) – 0.45(cost) = 0.20(profit) • 0.20(profit for 1) x 10(# sold) = $2.00 (total profit)

  10. Beginning 3.4(Copy this into your Notebook—Practice Section)

  11. Investigation 3.4 (cont.) • Complete page 41, Problem 3.4: A, B, C, & D • Work on Problem A by yourself • For B, C, & D, work with your group to complete

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