Answer:
C. None of the above
Explanation:
we know that
The number of students who signed up for different after school activities are
Cooking------------> 9 students
Chess---------------> 4 students
Photography-----> 8 students
Robotics-----------> 11 students
Total of students -----> (9+4+8+11)=32
Verify each statement
case A) The ratio of photography students to all is 4:1
The statement is false
Because the ratio of photography students to all is 8:32
Simplify
1:4
case B) For every 1 chess student there are a total of 16 students
The statement is false
Because the ratio of chess student to all is 4:32
Simplify
1:8
so
For every 1 chess student there are a total of 8 students
therefore
C. None of the above