Please provide solutiojn with graph

The data in the following table shows the results of a zombie outbreak as time goes by. The number of zombies includes those that have been infected, as well as compensates for those that have been eliminated by the survivors.

Time (days)

1

2

3

4

5

6

7

8

Number of Zombies

2

4

7

11

17

35

79

150

Determine which function best models the data in the table, and then give your best approximation for what specific function would model this data, i.e. f(x) = what?

Based on the model you found, which is the best prediction of the number of zombies in 4 days (12 days since the outbreak began)?