he table shows the population of a school for the years 1992-2008.
Year: 1992, 1994 1996, 1998, 2000, 2002, 2004, 2006, 2008
Population: 628, 656, 692,751, 793, 840 ,868, 902, 940
Which is the best prediction for the population in 2012?
1500
1100< or 1500
1175
2010
slope=(940-638)/8=37.75 each 2 years
best estimate: 2*slope+940=75+940=
1015
best answer above 1100
Sorry 1100 should be 1000, so the best answer will he 1000?
To make the best prediction for the population in 2012, we can use the given data and analyze the trend in the population growth over the years.
Given:
Year: 1992, 1994, 1996, 1998, 2000, 2002, 2004, 2006, 2008
Population: 628, 656, 692, 751, 793, 840, 868, 902, 940
To analyze the trend, let's observe the changes in the population over the years:
1992 to 1994: Increase of 28 (656 - 628)
1994 to 1996: Increase of 36 (692 - 656)
1996 to 1998: Increase of 59 (751 - 692)
1998 to 2000: Increase of 42 (793 - 751)
2000 to 2002: Increase of 47 (840 - 793)
2002 to 2004: Increase of 28 (868 - 840)
2004 to 2006: Increase of 34 (902 - 868)
2006 to 2008: Increase of 38 (940 - 902)
By analyzing the changes in the population, we can see that the increases are not constant. However, we can calculate the average increase to get an idea of the population growth rate:
Total increase = 28 + 36 + 59 + 42 + 47 + 28 + 34 + 38 = 312
Average increase = Total increase / Number of years = 312 / 8 = 39
Now, we can use the average increase to estimate the population in 2012. Since the given data only goes up until 2008, we have to assume that the trend continues.
From 2008 to 2012, there would be an increase of approximately 39 for each year.
2012 population = 940 (2008 population) + (39 x 4) ≈ 940 + 156 = 1096
Therefore, the best prediction for the population in 2012 is 1100.
So, the correct answer is:
1100