(Solved): part1part2part3 Calculate the average rate of change between adjacent points for the following funct ...

Calculate the average rate of change between adjacent points for the following function. The first few are done for you. Average Rate of Change X Increasing 0 1 2 3 4 5 f(x) 0 3 24 81 192 375 a. Is the function f(x) increasing, decreasing, or constant throughout? i i n.a. 3 21 54 84 75 b. Is the average rate of change increasing, decreasing, or constant throughout? a. Is the function f(x) increasing, decreasing, or constant throughout? Increasing b. Is the average rate of change increasing, decreasing, or constant throughout? The following are fictional data on the U.S. population over the time period from 1830 to 1930. a. Fill in the missing parts of the chart. Round populations to one decimal place and rates of change to three decimals places if necessary. Year 1830 1850 1870 i 1890 1910 1930 Population (in millions) 12.9 23.2 63 92.2 Average Rate of Change (millions/year) i n.a. 0.83 1.16 1.55 Source: U.S. Bureau of the Census, www.census.gov. b. Which 20-year interval had the largest average rate of change in population? Source: U.S. Bureau of the Census, www.census.gov. b. Which 20-year interval had the largest average rate of change in population? c. Which 20-year interval had the smallest average rate of change in population? 1800 1850 1900 1950 980 Source: Population Division of the United Nations, www.un.org/popin. a. The table below shows estimates for world population between 1800 and 2050. Fill in the third column of the table by calculating the annual average rate of change (over prior 50 years). Enter the exact answers (only numbers, without units). Units of your answers should be millions people per year. Year Population (in millions) Average Rate of Change 1260 1650 Population (in millions) 2520 10000 8000 6000 4000 2000 1800 n.a. 1850 1900 1950 2000 2050 Year a. The table below shows estimates for world population between 1800 and 2050. Fill in the third column of the table by calculating the annual average rate of change (over prior 50 years). Enter the exact answers (only numbers, without units). Units of your answers should be millions people per year. Year Population (in millions) Average Rate of Change 1800 1850 1900 1950 2000 2050 980 1260 1650 2520 6090 9317 n.a. b. Graph the annual average rate of change versus time. O Average Rate of Change Average Rate of Change 70- 09 50- 40- 30- 20- 10- nge 0 80 70- 60- 50- 40- 30- for Fot 8 1850 R 1850 1900 1900 1950 Year 1950 Year 2000 2000 2050 2050 Average Rate of Change 2 RSS RR2 Average Rate of Change 222222 1850 1450 1900 1300 0561 Year 1950 Year 2000 2000 0502 2010 c. During what 50-year period was the average annual rate of change the largest? During d. Describe in general terms what happened (and is predicted to happen) to the world population and its average rate of change between 1800 and 2050. Answer: The world population in the time interval 1800 to 2050. The average rate of change increased in the time interval the time interval to to and decreased (or is projected to decrease) in