To calculate Ms. Tanaka's earnings for selling 12 televisions, we will substitute \( t = 12 \) into the equation \( 2,500 + 100t \).
\[ \text{Earnings} = 2,500 + 100(12) \]
Now, calculating \( 100(12) \):
\[ 100 \times 12 = 1,200 \]
Now, add this to her base salary:
\[ \text{Earnings} = 2,500 + 1,200 = 3,700 \]
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
The correct response is:
$3,700