In 2004, a school population was 1001. By 2008 the population had grown to 1697.

Question

In 2004, a school population was 1001. By 2008 the population had grown to 1697. Assume the population is changing linearly. a. How much did the population grow between the year 2004 and 2008? b. How long did it take the population to grow from 1001 students to 1697 students? c. What is the average population growth per year? d. What was the population in the year 2000? e. Find an equation for the population, P, of the school t years after 2000. f. Using your equation, predict the population of the school in 2011.

Explanation / Answer

1)

a)population growth between year 2004 and 2008 is =1697-1001

population growth between year 2004 and 2008 is =696

b)2008-2004=4

it took 4 years for the population to grow from 1001 to 1697

c)average population growth per year =(1697-1001)/(2008-2004)

average population growth per year =174 per year

d)population in year 2000 is =1001+(174*(2000-2004))

population in year 2000 is =1001+(174*(-4))

population in year 2000 is =1001-696

population in year 2000 is =305

e)equation of population is P=305+ (174t)

f)in 2011, t =2011-2000=11

population of school in 2011 is =305+ (174*11)

population of school in 2011 is =2219

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