Math Problem population

Question

In 1995, the moose population in a park was measured to be 3000. By 1999, the population was measured again to be 4200. 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 2004?

=

Answer 1

(5,3000), (9,4200) have a line through them with slope = 1200/4= 300 = (p-3000)/(t-5)

P=300t-1500+3000

P=300t +1500 where t= the number of years since 1990 and P=moose population

for 2004, t= 2004-1990= 14

P=300(14)+1500

= 4200+1500

= 5,700 moose in 2004