Problema Solution
the deer population in suffolk county increases at a rate of 18 deer per year. after 4 years the deer population is 735.
(a) Write a linear model for the deer population, d, as a function of the number of years,t.
Answer provided by our tutors
1st year: C deer, where C is constant (the number of deer to start with)
2nd year: C + 18 deer
3rd year: C + 18 + 18 = C + 2*18 deer
4th year: C + 2*18 + 18 = C + 3*18 deer
We also know that after 4 years the deer population is 735:
C + 3*18 = 735
C = 735 - 3*18
C = 681
The number of deer at the start was 681 deer.
The linear model for the deer population as a function of the years, t is:
d(t) = C + (t-1)*18
d(t) = 681 + 18t - 18
d(t) = 18t + 663