Answer:
Option B
Step-by-step explanation:
Given is a table of t no of years and N(t), number of coyotes reported.
The table follows a functional pattern and we have to find the correct one out of given three.
For that we can find N(t) using the function and compare with the given table. Which shows less variation would be the answer.
No of coyotes reported
Total
t 0 1 2 3 4 5 6
N(t) 1 2 4 7 14 28 55
Function I 0.5t^2+1 1 1.5 3 5.5 9 13.5 19
Differenc 0 -0.5 -1 -1.5 -5 -14.5 -36 -58.5
2 1.95^t 1 1.95 3.8025 7.414875 14.45900625 28.19506219 54.98037127
Difference 0 0.05 0.1975 -0.414875 -0.45900625 -0.195062187 0.019628734 -0.801814703
3 0.5t^3-t^2 +5t+1 1 5.5 11 20.5 37 63.5 103
Difference 0 -3.5 -7 -13.5 -23 -35.5 -48 -130.5
We find that the difference is the least for option B.
Option B is the right answer.
