Question

the table shows the type of super power that 30 students wish they had. each student could only pick one super power. super power: flight, super strength, x - ray vision, invisibility. students: 8, 10, 0, 12. match the following ratios to what they describe. description: the ratio of students who wish they had x - ray vision to all students, the ratio of students who wish for flight to all students, the ratio of students who wish for flight to those who wish for invisibility. ratio: 2:9, 2:3, 1:0

Explanation:

Step1: Find ratio of students who wish for flight to those who wish for invisibility

The number of students who wish for flight is 8 and for invisibility is 12. The ratio is $\frac{8}{12}=\frac{2}{3}$, so the ratio of students who wish for flight to those who wish for invisibility is 2:3.

Step2: Find ratio of students who wish for flight to all students

The total number of students is $12 + 0+10 + 8=30$. The ratio of students who wish for flight to all students is $\frac{8}{30}=\frac{4}{15}= 2:9$ (after simplification).

Step3: Find ratio of students who wish for x - ray vision to all students

The number of students who wish for x - ray vision is 0. The ratio of students who wish for x - ray vision to all students is $\frac{0}{30}=0 = 1:0$ (in a non - standard sense as we can think of it as a ratio where the numerator is 0).

Answer:

1. The ratio of students who wish for flight to those who wish for invisibility: 2:3
2. The ratio of students who wish for flight to all students: 2:9
3. The ratio of students who wish for x - ray vision to all students: 1:0