SOLUTION: For 1980 through 1994, the population, P (in 1000's), of Hawaii can be modeled by P = 15.5(t+62), where t=0 represents 1980. a)What was the population in 1993? b)What wa the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: For 1980 through 1994, the population, P (in 1000's), of Hawaii can be modeled by P = 15.5(t+62), where t=0 represents 1980. a)What was the population in 1993? b)What wa the       Log On


   

Question 49261: For 1980 through 1994, the population, P (in 1000's), of Hawaii can be modeled by P = 15.5(t+62), where t=0 represents 1980.
a)What was the population in 1993?
b)What wa the population increase from 1980 to 1993?

I don't understand this one at all!!!!!!!!!!!!
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
P = 15.5(t+62) is the formula where P is in thousands and t=0 is 1980.

So,
1981 ==> t=1
1982 ==> t=2
1983 ==> t=3
1984 ==> t=4
...
1993 ==> t=13

So in 1993, we will have
P = 15.5(t+62)
P = 15.5(13+62)
P = 15.5(75)
P = 1162.5

So the population is 1162.5 thousands --> 1162.5*1000 --> 1,162,500

Back to 1980:
t=0 here so
P = 15.5(t+62)
P = 15.5(0+62)
P = 15.5(62)
P = 961
--> population is 961,000 in 1980

So the population increase from 1980 to 1993 is (1162500-961000)
201,500

jon.