how do i solve

Question

In 2004, a school population was 977. By 2008 the population had grown to 1609. Assume the population is changing linearly.
(a) How much did the population grow between the year 2004 and 2008?

students

(b) How long did it take the population to grow from 977 students to 1609 students?

yr

(c) What is the average population growth per year?

students/yr

(d) What was the population in the year 2000?

students

(e) Find an equation for the population, P, of the school t years after 2000. (Let
t = 0
correspond to the year 2000.)
P(t) =



(f) Using your equation, predict the population of the school in 2011.

students

Answer 1

Laura, where does the misunderstanding lie?

 

a. 1609 - 977 = 32 students

 

b. 2008 - 2004 = 4 years

 

c. 32/4 = 8 students/year

 

d. 977 - 4(8) = 945 students

 

e. P(t) = 8t + 945

 

f. P(11) = 8(11) + 945 = 1033 students

Answer 2

(a) 1609 - 977 = ?

(b) 2008

(c) (a) / (b) = ?

(d) 977 - 4(c) = ?