How to find a formula in terms of P(t)

Question

In 1994, the moose population in a park was measured to be 4110. By 1996, the population was measured again to be 4570. If the population continues to change linearly: find a formula foe the moose population, P, in terms of t, the years since 1990.

Answer 1

1994 is year four from 1990. (4,4110)

1996 is year six from 1990. (6,4570)

slope of this line= 4570-4110 = 230

6-4

we need to find the y intercept of the line which is b P(t) = mt +b using point (6,4570)

4570= 230(6)+b

4570=1380+b

4570-1380=b

3190 =b

The formula for the moose population since 1990 is P(t)= 230t+3190.

Answer 2

4570-4110=460/2=230/yr

t*230=deer/yrly growth