Question

a number machine uses a rule to change numbers. the table shows the results.
number machine results

in (k)	out (m)
5	17
7	19
11	23

which could be the rule the number machine used?
a 〇 ( k + 12 = m ) b 〇 ( k - 12 = m )
c 〇 ( k + 12 = m ) d 〇 ( k \times 12 = m )

Explanation:

Step1: Test Option A (k + 12 = m)

For k = 2: $2 + 12 = 14$, which matches the out value 14.
For k = 5: $5 + 12 = 17$, which matches the out value 17.
For k = 7: $7 + 12 = 19$, which matches the out value 19.
For k = 11: $11 + 12 = 23$, which matches the out value 23.

Step2: Test Option B (k - 12 = m)

For k = 2: $2 - 12 = -10
eq 14$, so B is wrong.

Step3: Test Option D (k × 12 = m)

For k = 2: $2 × 12 = 24
eq 14$, so D is wrong.
(Note: Option C is same as A in the given, likely a typo, but A works.)

Answer:

A. \( k + 12 = m \)