MAth problem population

Question

In 1991, the moose population in a park was measured to be 1200. By 1997, the population was measured again to be 1700. If the population continues to change linearly:

Find a formula for the moose population, PP, in terms of tt, the years since 1990.

P=   

What does your model predict the moose population to be in 2007?

Answer 1

If define t as years since 1991 (the first year of the data), P = 250t/3 + 1200

t is 2007 - 1991 = 16

P = 250(16)/3 + 1200 = 1333.3 + 1200 ≅ 2,533 moose (same answer as Raymond's, simpler calculation).

Answer 2

in 6 years the population grew by 500

that's 500/6=250/3= slope of the equation

each year the population grows by 83 1/3 moose

P=250t/3 + 1200-250/3

P=250t/3 + 3600/3-250/3

P=250t/3 + 3350/3

in 2007, t= 17

P =250(17)/3+3500/3

P= 4250/3+3500/3

P= 7750/3

P = 2533 moose in 2007

rounded off to nearest integer