Prentice Hall Algebra 1

Concept Byte: Using Tables to Solve Equations

Use With Lesson 1-8

TECHNOLOGY

You can solve equations by making a table using a graphing calculator.

Activity

A raft floats downriver at 9 mi/h. The distance y the raft travels can be modeled by the equation y = 9x, where x is the number of hours. Make a table on a graphing calculator to find how long it takes the raft to travel 153 mi.

Step1 Enter the equation y = 9x into a graphing calculator.
  • Press begin box , y equals , end box , .  The cursor appears next to cap y sub 1 , .
  • Press 9 begin box , x comma t comma theta comma n , end box  to enter y = 9x.
Step 2 Access the table setup feature.
  • Press begin box , 2 nd , end box . begin box , window , end box , .
  • TblStart represents the starting value in the table. Enter 1 for TblStart.
  • cap delta  Tbl represents the change in the value of x as you go from row to row. Enter 1 for cap delta  Tbl.

    2 screens from a graphing calculator display how to solve an equation.
    Image Long Description

Step 3 Display the table and find the solution.
  • Press begin box , 2 nd , end box . begin box , graph , end box , .  Use white down pointing triangle  to scroll through the table until you find the x-value for which y = 153. This x-value is 17. It takes the raft 17 h to travel 153 mi.

Exercises

Solve each problem by making a table on a graphing calculator.

  1. A town places 560 t of waste in a landfill each month. The amount y of waste in the landfill can be modeled by the equation y = 560x, where x is the number of months. How many months will it take to accumulate 11,200 t of waste in the landfill?
  2. A coupon gives $15 off a customer's purchase. The total amount y of the customer's purchase can be modeled by y equals x minus 15 comma  where x is the amount of the purchase before the coupon is used. A customer using the coupon pays $17 for a shirt. What was the original price of the shirt?

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments