Answer:
After 5 generations 1024 people will know the art of quiling.
Step-by-step explanation:
Each of 4 Amanda's students teach the art of quilling to 4 other students, which means the total number [tex]N[/tex] of people who know the quiling will be
[tex]N = 4*4 = 16 \:students[/tex]
Now, each of the 16 students will teach 4 other students the art of quiling, which makes [tex]N[/tex] the total number of people who know the quiling
[tex]N= 16*4= 64\: students[/tex]
and those 4 teach other 4 and so on until 5 generations; therefore, the total number of people who know the art of quiling after 5 generations will be
[tex]N =4*4*4*4*4= 4^5\\\\\boxed{N = 1024.}[/tex]
