AA survey of 110 teachers showed that 28 of them have a second job.
BA survey of 90 teachers showed that 27 of them have a second job.
CA survey of 70 teachers showed that 21 of them have a second job.
DA 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?

AA and B
BB and D
CA and D
DB and C

Verified Answer :

The answer is D. B and C are proportional.

Answer:

Correct option is:

D) B and C

Step-by-step 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:

      \(\dfrac{Teachers having second job}{Total number of teachers}\times 100\)

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