Question

A. A survey of 110 teachers showed that 28 of them have a second job.

B. A survey of 90 teachers showed that 27 of them have a second job.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?
A) A and B
B) B and D
C) A and D
D) B and C

Answer 1

The answer is D. B and C are proportional.

Answer 2

Correct option is:

D) B and C

Explanation:

A. A survey of 110 teachers showed that 28 of them have a second job.

B. A survey of 90 teachers showed that 27 of them have a second job.

C. A survey of 70 teachers showed that 21 of them have a second job.

D. A survey of 80 teachers showed that 32 of them have a second job.

Percentage of teachers having second job is calculated by the formula:

`(Teachers having second job)/(Total number of teachers)* 100`

So, percentage of second job teachers of survey A,B,C and D is:

A B C D

Percentage 25.45% 30% 30% 40%

Hence, two surveys that are proportional are

B and C

Hence, Correct option is:

D) B and C