HELP!!!!!!!!!!!!! I'm so desperate at this moment please!!!!!!?

Question

The school board of Port Disney thinks the best kind of elementary schools are small, neighborhood schools. So their schools have about 200 students each. About one-third of the population is of elementry school each. Port Disney's population has been increasing over the past twenty years and the growth trend is expected to continue. How many new schools will Port Disney need and when should they build them?
Year Population
1970 24,567
1980 31,200
1990 39,312

Make predictions for the population of Port Disney for the next 30 years, based on data from past years. Show all work! PLEASE!

This is the equation i started with!! PLEASE HELP best answer will recieve 10 points!!

31,200=24,567(1+x) to the power of "t"

PLEASE help!!

Answer 1

Thirty years from now (2007), or thirty years from 1990?

In 1990, you would need 65.52 elementary schools. The next ten years should end with 83 elementary schools, then 105 after 20 years, and 132.8296 at the end of 30 years.

Answer 2

Actually we can simplify it. 1/3 of the population are students, every 200 students needs a school. So, devide the population by 600 to get the number of schools.

1970: 41
1980: 52
1990: 65

These numbers are bit better. Using that rate of growth, use the compounding formula to evaluate growth. A spreadsheet will do the calculation very quickly.

Answer 3

work w/ The formula first:
W(t)=W*(1+x)^t |:W
W(t)/W=(1+x)^t | take t Th root
t th root of (W(t)/W)=1+x |-1
t th root of (W(t)/W)-1=x

t=1980-1970=10

x~.025

Proof:
W(t)=24567*(1+.025)^10
W(t)=31567 (only approx.)
now, the following years:
2000: approx. 50513
64905 approx for 2010
83398 approx for 2020.

i guarantee nothing.

Answer 4

Have your parents help