Question

Help, please!

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?

1000

1100

1150

2010

Answer 1

Answer with explanation:

Year Population

1992 628

1994 656→(628+28)

1996 692→(656+36)

1998 751→(692+59)

2000 793→(751+42)

2002 840→(793+47)

2004 868→(840+28)

2006 902→(868+34)

2008 940→(902+38)

There is no fixed pattern the rate at which population is increasing.But if you will look at the way the population is increasing , the range of the number is from [28,59].

⇒Most appropriate prediction for the population in 2012 will be

Option A : 1000

Answer 2

It would be helpful of you graph the points given above. Plotting it you can model an equation relating population and the year. Excel would be helpful. Doing this, I got a quadratic equation. Using this equation at year 2012, most likely the correct answer is the first option, 1000.