Algebra II Workbook - Wayne County Public Schools

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LESSON 2.3 CONTINUED EXAMPLE 2 NAME _________________________________________________________ DATE ____________ Practice with Examples For use with pages 82–89 Graphing with the Standard Form Graph 2x 3y 6. SOLUTION 1. The equation is already in standard form. 2. 2x 30 6 Let y 0. y x 3 Solve for x. The x-intercept is 3, so plot 3, 0. 3. 20 3y 6 Let x 0. 1 (0, 2) 1 (3, 0) x y 2 Solve for y. The y-intercept is 2, so plot 0, 2. 4. Draw a line through the two points. Exercises for Example 2 Graph the equation. 4. x 4y 8 5. 2x 5y 10 6. 2x y 4 Chapter 2 7. x 3 8. y 6 9. x 4 Copyright © McDougal Littell Inc. All rights reserved. Algebra 2 29 Practice Workbook with Examples
LESSON 2.3 CONTINUED EXAMPLE 3 NAME _________________________________________________________ DATE ____________ Practice with Examples For use with pages 82–89 Using the Standard Form Sales for the firefighter’s benefit dinner were $1980. The cost for a child’s dinner was $4.50 and an adult’s dinner was $6.00. Describe the number of children and adults who attended to reach this amount. SOLUTION Verbal Model Cost per child Number of children Cost per adult Number of adults Total revenue Chapter 2 Algebraic Model The graph of 4.5c 6a 1980 is a line that intersects the c-axis at 440, 0 and the a-axis at 0, 330. Points with integer coefficients on the line segment joining (440, 0) and (0, 330) represent the numbers of adults and children that could have attended. One way to earn $1980 would be to sell 200 children’s tickets and 180 adults’ tickets. Exercises for Example 3 4.50c 6.00a 1980 a 400 (0, 330) 300 (200, 180) 200 10. Members of the chorus need to raise $650 selling hoagies and pizzas. The profit they receive on each hoagie is $1.25 and $2.50 for each pizza. Find three different combinations for the numbers of each sold to raise the needed amount. Number of adults 100 0 0 Total Revenue 100 (440, 0) 300 500 c Number of children 11. Daniel is employed at two different restaurants. At one restaurant he makes $5.35 per hour and at the other he makes $6.25. Daniel needs to earn $105.30 a week to pay his bills. Describe the number of hours he could work at each restaurant to earn this amount. 30 Algebra 2 Practice Workbook with Examples Copyright © McDougal Littell Inc. All rights reserved.
Page 1 and 2: Algebra 2 LARSON BOSWELL KANOLD STI
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Algebra II Workbook - Wayne County Public Schools

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