Page 204 - Math Course 1 (Book 1)
P. 204

Percent of Increase and Decrease

           Mo. 6


           Lesson 7
                                                                    Let’s Begin


          KEY CONCEPTS:
          1. Find percent of decrease.                     Find Percent of Change
          2. Find percent of increase

                                                            Example


         MO. 6 - L7a                                        Find the percent of change from 325 to 390.

                Finding the Percent of                      Step 1
                         Decrease                           Subtract to f nd the amount of change.
                                                            390 – 325 = 65     new amount – original amount

                     Vocabulary A-Z                         Step 2
                     Let us learn some vocabulary           Write a ratio that compares the amount of  change
                                                            to the original amount. Express the ratio as a
                                                            percent.

                                                                                   amount of change
                                                               Percent of Change =
         Percent of Change                                                          original amount

         tells the percent an amount has increased or                           =    65    Substitution.
         decreased in relation to the original amount.                               325

                                                            Write the decimal as
                                                                                  = 0.20 or 20%
                                  amount of change
             Percent of Change =                            a percent.
                                   original amount
                                                                             The percent of change from
                                                               Answer
                                                                                 325 to 390 is 20%.
         Percent of Decrease
                                                           Find Percent of Decrease
         When the amount decreases, the percent of change
         is negative. You can state a negative percent of
         change as a percent of decrease.                   Example


                                  amount of change
              Percent of Change =                           CLOTHING
                                   opening points           A $110 sweater is on sale for $88. What is the
                                                            percent of change?
                                   –508.32
               Substitution    =
                                   2246.74                  Step 1
                                                            Subtract to f nd the amount of change.
            Write the decimal as   = –0.266 or –22.6%       88 – 110 = –22    sale price – original price.
                a percent
                                                            Step 2
                                                            Compare the amount of change to the original
               The percent of                               price.
             change is –22.6%.
                                                               Percent of Change =   amount of change
              It is a percent of                                                     original price
                 decrease.
                                                                                    –22
                                                                               =           Substitution.
                                                                                    110


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