Page 74 - Math Course 3 (Book 1)
P. 74

Exponential Growth and Decay





         Your Turn!


        Exponential Decay

         CHARITY                                           CHARITY
         A charitable organization found that the value of   A charitable organization found that the value of
         its clothing donations dropped by 2.5% per year.   its clothing donations dropped by 2.5% per year.
         Before this downturn in donations, the organization   Before this downturn in donations, the organization
         received clothing valued at $24,000. Write an     received clothing valued at $24,000. Estimate the
         equation to represent the value of the charity’s   value of the clothing donations 3 years after the
         clothing donations since the beginning of the     start of the downturn.
         downturn.
                                                           A. about $23,000
         A. y = (0.975) t                                  B. about $21,000
         B. y = 24,000(0.975) t                            C. about $22,245
         C. y = 24,000(1.975) t                            D. about $24,000
         D. y = 24,000(0.975)


            Answer






          Skill Practice!




        POPULATION
        For Exercises 1 and 2, use the following information.
        The population of New York City increased from 8,008,278 in 2000 to 8,168,388 in 2005. The annual rate of
        population increase for the period was about 0.4%.

        1. Write an equation for the population t years after 2000.
















        2. Use the equation to predict the population of New York City in 2015.


















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