To determine if the point (12, 31) is a solution to the inequality \(y > 4x - 17\), we need to substitute \(x = 12\) into the inequality and check if \(y = 31\) satisfies it.
First, calculate \(4x - 17\) when \(x = 12\):
\[ 4(12) - 17 = 48 - 17 = 31 \]
The inequality is:
\[ y > 4x - 17 \implies y > 31 \]
Since \(y = 31\) at the point (12, 31), it does not satisfy the inequality \(y > 31\). Thus, her friend is not correct.
The correct choice is:
D. No, because 31 is less than 4*12-17.
(Note: Here, "less than" may seem misleading since \(31\) is actually equal to \(4(12) - 17\); hence, the statement should more accurately reflect 'not greater than'.)