The table shows the estimated number of deer living in a forest over a five-year period. Which type of function best models the data? Write an equation to model the data.

Year Estimated Population
0 100
1 79
2 62
3 49
4 39

A. linear; y = 0.79x + 100
B. quadratic; y = 100x2 + 0.79
C. exponential; y = 100 * 0.79x
D. quadratic; y = 0.79x2 + 100

Question

The table shows the estimated number of deer living in a forest over a five-year period. Which type of function best models the data? Write an equation to model the data.

Year	Estimated Population
0	       100
1	       79
2	       62
3	       49
4	       39

A. linear; y = 0.79x + 100	
B. quadratic; y = 100x2 + 0.79	
C. exponential; y = 100 * 0.79x
D. quadratic; y = 0.79x2 + 100

campbell_st · Answer

this function is decreasing... and when x = 0 y = 100

A, B and D will all result in y increasing as x increases... 

which leaves only 1 answer.... 

to check substitute x = 2 and calculate the y value...

anonymous · Answer

Thank you that helped a lot I understand how to do it now thanks (:

campbell_st · Answer

most population questions be it growth of decay... are exponential... 

glad to help