The number of coyotes, n, reported near a new housing development after t years is given in the table.

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

t0123456  

N(t)1247142855  

Function I0.5t^2+111.535.5913.519  

Differenc  0-0.5-1-1.5-5-14.5-36-58.5

21.95^t11.953.80257.41487514.4590062528.1950621954.98037127  

Difference  00.050.1975-0.414875-0.45900625-0.1950621870.019628734-0.801814703

30.5t^3-t^2 +5t+115.51120.53763.5103  

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.

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