Answer :
Data
t = time
N = sqare of feet infected
t=0 N=4
t=1 N= 3(4) =12
If every hour the sqare infected grow 3 times the previus hour it means that if we calculate the data for some hours it will be like this:
[tex]t_0=0;N_0=4[/tex][tex]t_1=1;N_1=\text{ (3)4=12}[/tex][tex]t_2=2;N_2=(3)12=36[/tex][tex]t_3=0;N_3=3(36)=108[/tex]You can notice that the form growth occurs is:
[tex]N_n=3(N_{n-1})[/tex]where:
N is the sqare of feet infected
n is the numbner of the data related with the hours
Nn-1 is the square of feet infected is the las hour
If we put this in a graph it will be:
Seeing the graphic we can conclude that it is an exponential growing
