Page 206 - Math Course 1 (Book 1)
P. 206

Percent of Increase and Decrease




         Step 1                                             •Burbank
         Subtract to f nd the amount of change.              104, 114 – 93, 643        10, 471
                 25,500 – 7500 = 18,000                                        =
         new tuition – original tuition                           93, 643              93, 643


         Step 1                                                                = 0.1118 or 11.2%
         Write a ratio that compares the amount of change
         to the original tuition. Express the ratio as a
         percent.                                           •Monterey
                                amount of change              Eliminate this choice because the population
            Percent of Change =                               decreased.
                                  original tuition

                                18,000                      •San Jose
                            =           Substitution.
                                 7500                       904, 522 – 782, 248        122, 274
                                                                 782, 248      =       782, 248

         Write the decimal as   = 2.4% or 240%
         a percent.                                                            = 0.1563 or 15.6%

                        The percent of change is 240%.                    Burbank had the least percent of
            Answer         In this case, the percent of       Answer        increase in population from
                        change is a percent of  increase.                  1990 to 2004. The answer is B.



        Standardized Test Example
                                                            Your Turn!

         Example                                           Find Percent of Increase

                                                            TEXTBOOKS
          Refer to the table shown. Which city had the least   In 1990, the price of a textbook was $38. In 2000,
          percent of increase in population from 1990 to    the price of the same textbook was $81. Find the
          2000?
                                                            percent of change.

               City          1990           2004            A. 47%
                                                            B. 53%
             Anaheim        266, 406       333, 776         C. 113%
                                                            D. 213%
             Burbank        93, 643        104, 114
                                                             Answer
            Monterey        31, 954        29, 669
            San Jose        782, 248       904, 522        Find Percent of Increase

          A. Anaheim                   B. Burbank           The table shows test scores on the f rst two math
          C. Monterey                  D. San Jose          tests of the semester for four students. Which
                                                            student had the greatest percent of increase
          Read the Test Item                                from test 1 to test 2?
          Percent of increase tells how much the population
          has increased in relation to 1990.                    Student      Test Score    Test 2 Score
                                                                 Holly           84              91
          Solve the Test Item                                     Ben            93              89
          Use a ratio to f nd each percent of increase. Then
          compare the percents.                                  Sally           65              79
                                                                  Max            73              98
          •Anaheim                                          A. Holly       B. Ben
           333, 776 – 266, 406       67, 370                C. Sally       D. Max
                266, 406     =       266, 406
                                                             Answer
                             = 0.2529 or 25.3%
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